56727216 has 300 divisors, whose sum is σ = 208675632. Its totient is φ = 14556672.

The previous prime is 56727199. The next prime is 56727233. The reversal of 56727216 is 61272765.

It is an interprime number because it is at equal distance from previous prime (56727199) and next prime (56727233).

It is a super-2 number, since 2×56727216² = 6435954070221312, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

Its product of digits (35280) is a multiple of the sum of its prime factors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1533150 + ... + 1533186.

Almost surely, 2^56727216 is an apocalyptic number.

56727216 is a gapful number since it is divisible by the number (56) 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 56727216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104337816).

56727216 is an abundant number, since it is smaller than the sum of its proper divisors (151948416).

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

56727216 is a wasteful number, since it uses less digits than its factorization.

56727216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 56727216 is about 7531.7472076537. The cubic root of 56727216 is about 384.2352074639.

The spelling of 56727216 in words is "fifty-six million, seven hundred twenty-seven thousand, two hundred sixteen".