87907072 has 144 divisors (see below), whose sum is σ = 211921920. Its totient is φ = 35942400.

The previous prime is 87907063. The next prime is 87907073. The reversal of 87907072 is 27070978.

It is a super-2 number, since 2×87907072² = 15455306615226368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87907073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1658598 + ... + 1658650.

It is an arithmetic number, because the mean of its divisors is an integer number (1471680).

Almost surely, 2^87907072 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 87907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105960960).

87907072 is an abundant number, since it is smaller than the sum of its proper divisors (124014848).

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

87907072 is a wasteful number, since it uses less digits than its factorization.

87907072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 40.

The square root of 87907072 is about 9375.8771323007. The cubic root of 87907072 is about 444.6393947711.

The spelling of 87907072 in words is "eighty-seven million, nine hundred seven thousand, seventy-two".