72767760 has 160 divisors (see below), whose sum is σ = 246734208. Its totient is φ = 17633280.

The previous prime is 72767741. The next prime is 72767813. The reversal of 72767760 is 6776727.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258820 + ... + 259100.

Almost surely, 2^72767760 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 72767760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123367104).

72767760 is an abundant number, since it is smaller than the sum of its proper divisors (173966448).

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

72767760 is a wasteful number, since it uses less digits than its factorization.

72767760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 42.

The square root of 72767760 is about 8530.4021007219. The cubic root of 72767760 is about 417.4902480182.

The spelling of 72767760 in words is "seventy-two million, seven hundred sixty-seven thousand, seven hundred sixty".