72633 has 16 divisors (see below), whose sum is σ = 110592. Its totient is φ = 42000.

The previous prime is 72623. The next prime is 72643. The reversal of 72633 is 33627.

72633 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (72623) and next prime (72643).

It is not a de Polignac number, because 72633 - 2⁴ = 72617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72613) 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, 988 + ... + 1058.

It is an arithmetic number, because the mean of its divisors is an integer number (6912).

2⁷²⁶³³ is an apocalyptic number.

It is an amenable number.

72633 is a deficient number, since it is larger than the sum of its proper divisors (37959).

72633 is a wasteful number, since it uses less digits than its factorization.

72633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its digits is 756, while the sum is 21.

The square root of 72633 is about 269.5051019925. The cubic root of 72633 is about 41.7232369383.

The spelling of 72633 in words is "seventy-two thousand, six hundred thirty-three".