72159880 has 64 divisors (see below), whose sum is σ = 176198400. Its totient is φ = 26438400.

The previous prime is 72159863. The next prime is 72159887. The reversal of 72159880 is 8895127.

It is a super-2 number, since 2×72159880² = 10414096563228800, which contains 22 as substring.

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 (72159887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78061 + ... + 78979.

It is an arithmetic number, because the mean of its divisors is an integer number (2753100).

Almost surely, 2^72159880 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 72159880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88099200).

72159880 is an abundant number, since it is smaller than the sum of its proper divisors (104038520).

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

72159880 is a wasteful number, since it uses less digits than its factorization.

72159880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 72159880 is about 8494.6971694110. The cubic root of 72159880 is about 416.3244664123.

The spelling of 72159880 in words is "seventy-two million, one hundred fifty-nine thousand, eight hundred eighty".