72753632 has 36 divisors (see below), whose sum is σ = 166622400. Its totient is φ = 31179456.

The previous prime is 72753617. The next prime is 72753647. The reversal of 72753632 is 23635727.

It is an interprime number because it is at equal distance from previous prime (72753617) and next prime (72753647).

It is a junction number, because it is equal to n+sod(n) for n = 72753592 and 72753601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21632 + ... + 24767.

It is an arithmetic number, because the mean of its divisors is an integer number (4628400).

Almost surely, 2^72753632 is an apocalyptic number.

It is an amenable number.

72753632 is an abundant number, since it is smaller than the sum of its proper divisors (93868768).

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

72753632 is a wasteful number, since it uses less digits than its factorization.

72753632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46423 (or 46408 counting only the distinct ones).

The product of its digits is 52920, while the sum is 35.

The square root of 72753632 is about 8529.5739635693. The cubic root of 72753632 is about 417.4632274257.

The spelling of 72753632 in words is "seventy-two million, seven hundred fifty-three thousand, six hundred thirty-two".