87372432 has 100 divisors (see below), whose sum is σ = 289037056. Its totient is φ = 24960960.

The previous prime is 87372427. The next prime is 87372433. The reversal of 87372432 is 23427378.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (87372433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4257 + ... + 13887.

Almost surely, 2^87372432 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 87372432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144518528).

87372432 is an abundant number, since it is smaller than the sum of its proper divisors (201664624).

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

87372432 is a wasteful number, since it uses less digits than its factorization.

87372432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658 (or 9643 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 87372432 is about 9347.3221833849. The cubic root of 87372432 is about 443.7361471044.

The spelling of 87372432 in words is "eighty-seven million, three hundred seventy-two thousand, four hundred thirty-two".