72633627 has 48 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 42120000.

The previous prime is 72633623. The next prime is 72633629.

72633627 is a `hidden beast` number, since 7 + 26 + 3 + 3 + 627 = 666.

72633627 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72633627 - 2² = 72633623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72633591 and 72633600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72633623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289252 + ... + 289502.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^72633627 is an apocalyptic number.

72633627 is a deficient number, since it is larger than the sum of its proper divisors (46874853).

72633627 is a wasteful number, since it uses less digits than its factorization.

72633627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 72633627 is about 8522.5364182267. The cubic root of 72633627 is about 417.2335699576.

The spelling of 72633627 in words is "seventy-two million, six hundred thirty-three thousand, six hundred twenty-seven".