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72262044 = 2234239697
BaseRepresentation
bin1000100111010…
…10000110011100
312000222021220000
410103222012130
5121444341134
611100454300
71535134341
oct423520634
9160867800
1072262044
11378765a8
122024a390
1311c8130a
1498507c8
156525e99
hex44ea19c

72262044 has 60 divisors (see below), whose sum is σ = 197140944. Its totient is φ = 23037696.

The previous prime is 72262039. The next prime is 72262051. The reversal of 72262044 is 44026227.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72261999 and 72262017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2604 + ... + 12300.

Almost surely, 272262044 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 72262044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98570472).

72262044 is an abundant number, since it is smaller than the sum of its proper divisors (124878900).

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

72262044 is a wasteful number, since it uses less digits than its factorization.

72262044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9736 (or 9725 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 72262044 is about 8500.7084410654. The cubic root of 72262044 is about 416.5208512346.

The spelling of 72262044 in words is "seventy-two million, two hundred sixty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2484 3726 7452 9697 19394 29091 38788 58182 87273 116364 174546 223031 261819 349092 446062 523638 669093 785457 892124 1047276 1338186 1570914 2007279 2676372 3141828 4014558 6021837 8029116 12043674 18065511 24087348 36131022 72262044