56392000 has 224 divisors, whose sum is σ = 171175680. Its totient is φ = 17971200.

The previous prime is 56391991. The next prime is 56392003. The reversal of 56392000 is 29365.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56392003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063974 + ... + 1064026.

Almost surely, 2^56392000 is an apocalyptic number.

56392000 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 56392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85587840).

56392000 is an abundant number, since it is smaller than the sum of its proper divisors (114783680).

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

56392000 is a wasteful number, since it uses less digits than its factorization.

56392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 56392000 is about 7509.4606996774. The cubic root of 56392000 is about 383.4768628664.

It can be divided in two parts, 56 and 392000, that multiplied together give a cube (21952000 = 280³).

The spelling of 56392000 in words is "fifty-six million, three hundred ninety-two thousand".