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71372112 = 2437375741
BaseRepresentation
bin1000100000100…
…00110101010000
311222022002010120
410100100311100
5121232401422
611025430240
71524436650
oct420206520
9158262116
1071372112
1137318a19
121ba9b380
1311a2c226
14969c360
1563ec45c
hex4410d50

71372112 has 80 divisors (see below), whose sum is σ = 216450432. Its totient is φ = 19837440.

The previous prime is 71372107. The next prime is 71372141. The reversal of 71372112 is 21127317.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9562 + ... + 15302.

Almost surely, 271372112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71372112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108225216).

71372112 is an abundant number, since it is smaller than the sum of its proper divisors (145078320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71372112 is a wasteful number, since it uses less digits than its factorization.

71372112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5796 (or 5790 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 71372112 is about 8448.2017021376. The cubic root of 71372112 is about 414.8039176260.

Adding to 71372112 its reverse (21127317), we get a palindrome (92499429).

The spelling of 71372112 in words is "seventy-one million, three hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 5741 6216 11482 12432 17223 22964 34446 40187 45928 68892 80374 91856 120561 137784 160748 212417 241122 275568 321496 424834 482244 637251 642992 849668 964488 1274502 1486919 1699336 1928976 2549004 2973838 3398672 4460757 5098008 5947676 8921514 10196016 11895352 17843028 23790704 35686056 71372112