72633930 has 32 divisors (see below), whose sum is σ = 179947008. Its totient is φ = 18744000.

The previous prime is 72633907. The next prime is 72633937. The reversal of 72633930 is 3933627.

It is a junction number, because it is equal to n+sod(n) for n = 72633891 and 72633900.

It is not an unprimeable number, because it can be changed into a prime (72633937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38121 + ... + 39980.

It is an arithmetic number, because the mean of its divisors is an integer number (5623344).

Almost surely, 2^72633930 is an apocalyptic number.

72633930 is an abundant number, since it is smaller than the sum of its proper divisors (107313078).

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

72633930 is a wasteful number, since it uses less digits than its factorization.

72633930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78142.

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 72633930 is about 8522.5541946062. The cubic root of 72633930 is about 417.2341501369.

The spelling of 72633930 in words is "seventy-two million, six hundred thirty-three thousand, nine hundred thirty".