72917680 has 160 divisors (see below), whose sum is σ = 197987328. Its totient is φ = 24729600.

The previous prime is 72917671. The next prime is 72917681. The reversal of 72917680 is 8671927.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (72917681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1551417 + ... + 1551463.

Almost surely, 2^72917680 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 72917680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

72917680 is an abundant number, since it is smaller than the sum of its proper divisors (125069648).

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

72917680 is a wasteful number, since it uses less digits than its factorization.

72917680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 72917680 is about 8539.1849728180. The cubic root of 72917680 is about 417.7767631969.

The spelling of 72917680 in words is "seventy-two million, nine hundred seventeen thousand, six hundred eighty".