56372000 has 96 divisors (see below), whose sum is σ = 146830320. Its totient is φ = 21196800.

The previous prime is 56371967. The next prime is 56372021. The reversal of 56372000 is 27365.

It can be written as a sum of positive squares in 8 ways, for example, as 7203856 + 49168144 = 2684^2 + 7012^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 67586 + ... + 68414.

Almost surely, 2^56372000 is an apocalyptic number.

56372000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73415160).

56372000 is an abundant number, since it is smaller than the sum of its proper divisors (90458320).

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

56372000 is a wasteful number, since it uses less digits than its factorization.

56372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 56372000 is about 7508.1289280353. The cubic root of 56372000 is about 383.4315228411.

Adding to 56372000 its reverse (27365), we get a palindrome (56399365).

The spelling of 56372000 in words is "fifty-six million, three hundred seventy-two thousand".