72966144 has 56 divisors (see below), whose sum is σ = 194630040. Its totient is φ = 24313856.

The previous prime is 72966133. The next prime is 72966161. The reversal of 72966144 is 44166927.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23092 + ... + 26060.

Almost surely, 2^72966144 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 72966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97315020).

72966144 is an abundant number, since it is smaller than the sum of its proper divisors (121663896).

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

72966144 is an equidigital number, since it uses as much as digits as its factorization.

72966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2974 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 72966144 is about 8542.0222430055. The cubic root of 72966144 is about 417.8692997350.

The spelling of 72966144 in words is "seventy-two million, nine hundred sixty-six thousand, one hundred forty-four".