72935748 has 48 divisors (see below), whose sum is σ = 192209920. Its totient is φ = 23911200.

The previous prime is 72935717. The next prime is 72935771. The reversal of 72935748 is 84753927.

72935748 is a `hidden beast` number, since 72 + 9 + 3 + 574 + 8 = 666.

It is an unprimeable number.

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, 1053 + ... + 12123.

Almost surely, 2^72935748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72935748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96104960).

72935748 is an abundant number, since it is smaller than the sum of its proper divisors (119274172).

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

72935748 is a wasteful number, since it uses less digits than its factorization.

72935748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11145 (or 11137 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 72935748 is about 8540.2428536898. The cubic root of 72935748 is about 417.8112667959.

It can be divided in two parts, 7293 and 5748, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 72935748 in words is "seventy-two million, nine hundred thirty-five thousand, seven hundred forty-eight".