72760576 has 72 divisors (see below), whose sum is σ = 174802880. Its totient is φ = 29528064.

The previous prime is 72760549. The next prime is 72760577. The reversal of 72760576 is 67506727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72760577) 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, 32980 + ... + 35116.

Almost surely, 2^72760576 is an apocalyptic number.

72760576 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72760576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87401440).

72760576 is an abundant number, since it is smaller than the sum of its proper divisors (102042304).

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

72760576 is a wasteful number, since it uses less digits than its factorization.

72760576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The square root of 72760576 is about 8529.9810081852. The cubic root of 72760576 is about 417.4765086523.

The spelling of 72760576 in words is "seventy-two million, seven hundred sixty thousand, five hundred seventy-six".