72754656 has 96 divisors (see below), whose sum is σ = 208137888. Its totient is φ = 22118400.

The previous prime is 72754621. The next prime is 72754733. The reversal of 72754656 is 65645727.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 120756 + ... + 121356.

It is an arithmetic number, because the mean of its divisors is an integer number (2168103).

Almost surely, 2^72754656 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 72754656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104068944).

72754656 is an abundant number, since it is smaller than the sum of its proper divisors (135383232).

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

72754656 is a wasteful number, since it uses less digits than its factorization.

72754656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 72754656 is about 8529.6339898028. The cubic root of 72754656 is about 417.4651860007.

It can be divided in two parts, 7275 and 4656, that multiplied together give a square (33872400 = 5820²).

The spelling of 72754656 in words is "seventy-two million, seven hundred fifty-four thousand, six hundred fifty-six".