87472400 has 30 divisors (see below), whose sum is σ = 210153402. Its totient is φ = 34988800.

The previous prime is 87472379. The next prime is 87472417. The reversal of 87472400 is 427478.

It can be written as a sum of positive squares in 3 ways, for example, as 1056784 + 86415616 = 1028^2 + 9296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108941 + ... + 109740.

Almost surely, 2^87472400 is an apocalyptic number.

87472400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87472400 is an abundant number, since it is smaller than the sum of its proper divisors (122681002).

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

87472400 is a wasteful number, since it uses less digits than its factorization.

87472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218699 (or 218688 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 87472400 is about 9352.6680685246. The cubic root of 87472400 is about 443.9053175807.

Adding to 87472400 its reverse (427478), we get a palindrome (87899878).

The spelling of 87472400 in words is "eighty-seven million, four hundred seventy-two thousand, four hundred".