72788560 has 160 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 24059904.

The previous prime is 72788533. The next prime is 72788591. The reversal of 72788560 is 6588727.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 406551 + ... + 406729.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 2^72788560 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 72788560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

72788560 is an abundant number, since it is smaller than the sum of its proper divisors (129698480).

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

72788560 is a wasteful number, since it uses less digits than its factorization.

72788560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 72788560 is about 8531.6211824014. The cubic root of 72788560 is about 417.5300228210.

The spelling of 72788560 in words is "seventy-two million, seven hundred eighty-eight thousand, five hundred sixty".