72969120 has 384 divisors, whose sum is σ = 309657600. Its totient is φ = 15676416.

The previous prime is 72969107. The next prime is 72969137. The reversal of 72969120 is 2196927.

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 63 ways as a sum of consecutive naturals, for example, 574497 + ... + 574623.

It is an arithmetic number, because the mean of its divisors is an integer number (806400).

Almost surely, 2^72969120 is an apocalyptic number.

72969120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

72969120 is an abundant number, since it is smaller than the sum of its proper divisors (236688480).

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

72969120 is a wasteful number, since it uses less digits than its factorization.

72969120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 72969120 is about 8542.1964388558. The cubic root of 72969120 is about 417.8749807356.

The spelling of 72969120 in words is "seventy-two million, nine hundred sixty-nine thousand, one hundred twenty".