72093120 has 112 divisors (see below), whose sum is σ = 249740928. Its totient is φ = 17474560.

The previous prime is 72093097. The next prime is 72093137. The reversal of 72093120 is 2139027.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7147 + ... + 13973.

Almost surely, 2^72093120 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 72093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124870464).

72093120 is an abundant number, since it is smaller than the sum of its proper divisors (177647808).

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

72093120 is a wasteful number, since it uses less digits than its factorization.

72093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 72093120 is about 8490.7667498289. The cubic root of 72093120 is about 416.1960367960.

The spelling of 72093120 in words is "seventy-two million, ninety-three thousand, one hundred twenty".