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70872 = 2332953
BaseRepresentation
bin10001010011011000
310121012220
4101103120
54231442
61304040
7413424
oct212330
9117186
1070872
114927a
1235020
1326349
141bb84
1515eec
hex114d8

70872 has 16 divisors (see below), whose sum is σ = 177240. Its totient is φ = 23616.

The previous prime is 70867. The next prime is 70877. The reversal of 70872 is 27807.

It is an interprime number because it is at equal distance from previous prime (70867) and next prime (70877).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2953 = 70872 / (7 + 0 + 8 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1453 + ... + 1500.

270872 is an apocalyptic number.

It is an amenable number.

70872 is an abundant number, since it is smaller than the sum of its proper divisors (106368).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88620).

70872 is a wasteful number, since it uses less digits than its factorization.

70872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 70872 is about 266.2179558182. The cubic root of 70872 is about 41.3832787382.

It can be divided in two parts, 708 and 72, that added together give a triangular number (780 = T39).

The spelling of 70872 in words is "seventy thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 2953 5906 8859 11812 17718 23624 35436 70872