72980160 has 112 divisors (see below), whose sum is σ = 252813312. Its totient is φ = 17689600.

The previous prime is 72980137. The next prime is 72980177. The reversal of 72980160 is 6108927.

It is a super-2 number, since 2×72980160² = 10652207507251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7105 + ... + 14015.

Almost surely, 2^72980160 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 72980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126406656).

72980160 is an abundant number, since it is smaller than the sum of its proper divisors (179833152).

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

72980160 is a wasteful number, since it uses less digits than its factorization.

72980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 72980160 is about 8542.8426182390. The cubic root of 72980160 is about 417.8960540661.

The spelling of 72980160 in words is "seventy-two million, nine hundred eighty thousand, one hundred sixty".