56007072 has 192 divisors, whose sum is σ = 182891520. Its totient is φ = 16531200.

The previous prime is 56007067. The next prime is 56007097. The reversal of 56007072 is 27070065.

It is a super-2 number, since 2×56007072² = 6273584228026368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674743 + ... + 674825.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^56007072 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 56007072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

56007072 is an abundant number, since it is smaller than the sum of its proper divisors (126884448).

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

56007072 is a wasteful number, since it uses less digits than its factorization.

56007072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 56007072 is about 7483.7872765065. The cubic root of 56007072 is about 382.6023409353.

The spelling of 56007072 in words is "fifty-six million, seven thousand, seventy-two".