72913680 has 480 divisors, whose sum is σ = 317551104. Its totient is φ = 14598144.

The previous prime is 72913679. The next prime is 72913691. The reversal of 72913680 is 8631927.

72913680 is a `hidden beast` number, since 7 + 291 + 368 + 0 = 666.

It is a super-2 number, since 2×72913680² = 10632809462284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1970622 + ... + 1970658.

Almost surely, 2^72913680 is an apocalyptic number.

72913680 is a gapful number since it is divisible by the number (70) 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 72913680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158775552).

72913680 is an abundant number, since it is smaller than the sum of its proper divisors (244637424).

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

72913680 is a wasteful number, since it uses less digits than its factorization.

72913680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 72913680 is about 8538.9507552158. The cubic root of 72913680 is about 417.7691238169.

The spelling of 72913680 in words is "seventy-two million, nine hundred thirteen thousand, six hundred eighty".