72309980 has 48 divisors (see below), whose sum is σ = 157753344. Its totient is φ = 27812160.

The previous prime is 72309971. The next prime is 72309983. The reversal of 72309980 is 8990327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72309983) 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, 137999 + ... + 138521.

It is an arithmetic number, because the mean of its divisors is an integer number (3286528).

Almost surely, 2^72309980 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 72309980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78876672).

72309980 is an abundant number, since it is smaller than the sum of its proper divisors (85443364).

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

72309980 is a wasteful number, since it uses less digits than its factorization.

72309980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 72309980 is about 8503.5275033365. The cubic root of 72309980 is about 416.6129324484.

The spelling of 72309980 in words is "seventy-two million, three hundred nine thousand, nine hundred eighty".