72092160 has 320 divisors, whose sum is σ = 294624000. Its totient is φ = 16367616.

The previous prime is 72092117. The next prime is 72092183. The reversal of 72092160 is 6129027.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483766 + ... + 483914.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 2^72092160 is an apocalyptic number.

72092160 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 72092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312000).

72092160 is an abundant number, since it is smaller than the sum of its proper divisors (222531840).

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

72092160 is a wasteful number, since it uses less digits than its factorization.

72092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

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

The square root of 72092160 is about 8490.7102176438. The cubic root of 72092160 is about 416.1941894169.

The spelling of 72092160 in words is "seventy-two million, ninety-two thousand, one hundred sixty".