72122880 has 80 divisors (see below), whose sum is σ = 230592384. Its totient is φ = 19230720.

The previous prime is 72122867. The next prime is 72122893. The reversal of 72122880 is 8822127.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72122867) and next prime (72122893).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2985 + ... + 12375.

Almost surely, 2^72122880 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 72122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115296192).

72122880 is an abundant number, since it is smaller than the sum of its proper divisors (158469504).

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

72122880 is an equidigital number, since it uses as much as digits as its factorization.

72122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9417 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 72122880 is about 8492.5190609147. The cubic root of 72122880 is about 416.2532974155.

The spelling of 72122880 in words is "seventy-two million, one hundred twenty-two thousand, eight hundred eighty".