72888160 has 72 divisors (see below), whose sum is σ = 177151968. Its totient is φ = 28339200.

The previous prime is 72888149. The next prime is 72888209. The reversal of 72888160 is 6188827.

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

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 11 ways as a sum of consecutive naturals, for example, 268825 + ... + 269095.

It is an arithmetic number, because the mean of its divisors is an integer number (2460444).

Almost surely, 2^72888160 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 72888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88575984).

72888160 is an abundant number, since it is smaller than the sum of its proper divisors (104263808).

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

72888160 is a wasteful number, since it uses less digits than its factorization.

72888160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 72888160 is about 8537.4562956422. The cubic root of 72888160 is about 417.7203779933.

It can be divided in two parts, 728 and 88160, that added together give a palindrome (88888).

The spelling of 72888160 in words is "seventy-two million, eight hundred eighty-eight thousand, one hundred sixty".