72488160 has 144 divisors (see below), whose sum is σ = 251203680. Its totient is φ = 19031040.

The previous prime is 72488159. The next prime is 72488179. The reversal of 72488160 is 6188427.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101886 + ... + 102594.

It is an arithmetic number, because the mean of its divisors is an integer number (1744470).

Almost surely, 2^72488160 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 72488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125601840).

72488160 is an abundant number, since it is smaller than the sum of its proper divisors (178715520).

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

72488160 is a wasteful number, since it uses less digits than its factorization.

72488160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 72488160 is about 8513.9978858348. The cubic root of 72488160 is about 416.9548456188.

Adding to 72488160 its sum of digits (36), we get a square (72488196 = 8514²).

The spelling of 72488160 in words is "seventy-two million, four hundred eighty-eight thousand, one hundred sixty".