56362072 has 64 divisors (see below), whose sum is σ = 122472000. Its totient is φ = 24084480.

The previous prime is 56362069. The next prime is 56362073. The reversal of 56362072 is 27026365.

It is a super-3 number, since 3×56362072³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56362073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125304 + ... + 125752.

It is an arithmetic number, because the mean of its divisors is an integer number (1913625).

Almost surely, 2^56362072 is an apocalyptic number.

56362072 is a gapful number since it is divisible by the number (52) 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 56362072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61236000).

56362072 is an abundant number, since it is smaller than the sum of its proper divisors (66109928).

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

56362072 is a wasteful number, since it uses less digits than its factorization.

56362072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 56362072 is about 7507.4677488485. The cubic root of 56362072 is about 383.4090120694.

The spelling of 56362072 in words is "fifty-six million, three hundred sixty-two thousand, seventy-two".