72796760 has 64 divisors (see below), whose sum is σ = 170233920. Its totient is φ = 27993600.

The previous prime is 72796751. The next prime is 72796799. The reversal of 72796760 is 6769727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149237 + ... + 149723.

It is an arithmetic number, because the mean of its divisors is an integer number (2659905).

Almost surely, 2^72796760 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 72796760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85116960).

72796760 is an abundant number, since it is smaller than the sum of its proper divisors (97437160).

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

72796760 is a wasteful number, since it uses less digits than its factorization.

72796760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 44.

The square root of 72796760 is about 8532.1017340395. The cubic root of 72796760 is about 417.5457011896.

The spelling of 72796760 in words is "seventy-two million, seven hundred ninety-six thousand, seven hundred sixty".