72614633 has 32 divisors (see below), whose sum is σ = 96074496. Its totient is φ = 53250048.

The previous prime is 72614627. The next prime is 72614639. The reversal of 72614633 is 33641627.

It is an interprime number because it is at equal distance from previous prime (72614627) and next prime (72614639).

It is a cyclic number.

It is not a de Polignac number, because 72614633 - 2⁶ = 72614569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72614633.

It is not an unprimeable number, because it can be changed into a prime (72614639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112610 + ... + 113252.

It is an arithmetic number, because the mean of its divisors is an integer number (3002328).

Almost surely, 2^72614633 is an apocalyptic number.

72614633 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

72614633 is a deficient number, since it is larger than the sum of its proper divisors (23459863).

72614633 is a wasteful number, since it uses less digits than its factorization.

72614633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753.

The product of its digits is 18144, while the sum is 32.

The square root of 72614633 is about 8521.4220057453. The cubic root of 72614633 is about 417.1971973404.

The spelling of 72614633 in words is "seventy-two million, six hundred fourteen thousand, six hundred thirty-three".