72160920 has 192 divisors, whose sum is σ = 267714720. Its totient is φ = 16699392.

The previous prime is 72160909. The next prime is 72160927. The reversal of 72160920 is 2906127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72160927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79107 + ... + 80013.

Almost surely, 2^72160920 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 72160920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133857360).

72160920 is an abundant number, since it is smaller than the sum of its proper divisors (195553800).

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

72160920 is a wasteful number, since it uses less digits than its factorization.

72160920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72160920 is about 8494.7583838506. The cubic root of 72160920 is about 416.3264664866.

The spelling of 72160920 in words is "seventy-two million, one hundred sixty thousand, nine hundred twenty".