72057627 has 16 divisors (see below), whose sum is σ = 109025280. Its totient is φ = 47015496.

The previous prime is 72057617. The next prime is 72057631. The reversal of 72057627 is 72675027.

72057627 is a `hidden beast` number, since 7 + 20 + 5 + 7 + 627 = 666.

It is not a de Polignac number, because 72057627 - 2¹⁰ = 72056603 is a prime.

It is a super-2 number, since 2×72057627² = 10384603217742258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72057591 and 72057600.

It is not an unprimeable number, because it can be changed into a prime (72057617) 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, 27123 + ... + 29660.

It is an arithmetic number, because the mean of its divisors is an integer number (6814080).

Almost surely, 2^72057627 is an apocalyptic number.

72057627 is a deficient number, since it is larger than the sum of its proper divisors (36967653).

72057627 is a wasteful number, since it uses less digits than its factorization.

72057627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56839 (or 56833 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 72057627 is about 8488.6763985912. The cubic root of 72057627 is about 416.1277248184.

The spelling of 72057627 in words is "seventy-two million, fifty-seven thousand, six hundred twenty-seven".