72766944 has 48 divisors (see below), whose sum is σ = 212239440. Its totient is φ = 24255360.

The previous prime is 72766943. The next prime is 72766973. The reversal of 72766944 is 44966727.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72766944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72766943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41247 + ... + 42974.

It is an arithmetic number, because the mean of its divisors is an integer number (4421655).

Almost surely, 2^72766944 is an apocalyptic number.

It is an amenable number.

72766944 is an abundant number, since it is smaller than the sum of its proper divisors (139472496).

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

72766944 is a wasteful number, since it uses less digits than its factorization.

72766944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84240 (or 84226 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 72766944 is about 8530.3542716584. The cubic root of 72766944 is about 417.4886874676.

The spelling of 72766944 in words is "seventy-two million, seven hundred sixty-six thousand, nine hundred forty-four".