56371392 has 336 divisors, whose sum is σ = 213018624. Its totient is φ = 13824000.

The previous prime is 56371379. The next prime is 56371411. The reversal of 56371392 is 29317365.

56371392 is a `hidden beast` number, since 5 + 637 + 13 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (34020) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374892 + ... + 1374932.

It is an arithmetic number, because the mean of its divisors is an integer number (633984).

Almost surely, 2^56371392 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 56371392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106509312).

56371392 is an abundant number, since it is smaller than the sum of its proper divisors (156647232).

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

56371392 is a wasteful number, since it uses less digits than its factorization.

56371392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 56371392 is about 7508.0884384775. The cubic root of 56371392 is about 383.4301443363.

The spelling of 56371392 in words is "fifty-six million, three hundred seventy-one thousand, three hundred ninety-two".