87672456 has 64 divisors (see below), whose sum is σ = 246590400. Its totient is φ = 29218320.

The previous prime is 87672449. The next prime is 87672493. The reversal of 87672456 is 65427678.

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, 14991 + ... + 20001.

It is an arithmetic number, because the mean of its divisors is an integer number (3852975).

Almost surely, 2^87672456 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 87672456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123295200).

87672456 is an abundant number, since it is smaller than the sum of its proper divisors (158917944).

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

87672456 is an equidigital number, since it uses as much as digits as its factorization.

87672456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5016 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 87672456 is about 9363.3570902748. The cubic root of 87672456 is about 444.2434749353.

The spelling of 87672456 in words is "eighty-seven million, six hundred seventy-two thousand, four hundred fifty-six".