72949760 has 112 divisors (see below), whose sum is σ = 189911736. Its totient is φ = 26738688.

The previous prime is 72949757. The next prime is 72949763. The reversal of 72949760 is 6794927.

It is an interprime number because it is at equal distance from previous prime (72949757) and next prime (72949763).

It can be written as a sum of positive squares in 4 ways, for example, as 48664576 + 24285184 = 6976^2 + 4928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72949763) 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, 532412 + ... + 532548.

Almost surely, 2^72949760 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 72949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94955868).

72949760 is an abundant number, since it is smaller than the sum of its proper divisors (116961976).

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

72949760 is a wasteful number, since it uses less digits than its factorization.

72949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The square root of 72949760 is about 8541.0631656721. The cubic root of 72949760 is about 417.8380209221.

The spelling of 72949760 in words is "seventy-two million, nine hundred forty-nine thousand, seven hundred sixty".