72715080 has 64 divisors (see below), whose sum is σ = 220429440. Its totient is φ = 19187712.

The previous prime is 72715039. The next prime is 72715127. The reversal of 72715080 is 8051727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8517 + ... + 14763.

It is an arithmetic number, because the mean of its divisors is an integer number (3444210).

Almost surely, 2^72715080 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 72715080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110214720).

72715080 is an abundant number, since it is smaller than the sum of its proper divisors (147714360).

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

72715080 is a wasteful number, since it uses less digits than its factorization.

72715080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 72715080 is about 8527.3137622583. The cubic root of 72715080 is about 417.3894767621.

The spelling of 72715080 in words is "seventy-two million, seven hundred fifteen thousand, eighty".