72160092 has 48 divisors (see below), whose sum is σ = 188485920. Its totient is φ = 23872896.

The previous prime is 72160037. The next prime is 72160093. The reversal of 72160092 is 29006127.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72160093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12358 + ... + 17234.

It is an arithmetic number, because the mean of its divisors is an integer number (3926790).

Almost surely, 2^72160092 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 72160092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94242960).

72160092 is an abundant number, since it is smaller than the sum of its proper divisors (116325828).

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

72160092 is a wasteful number, since it uses less digits than its factorization.

72160092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5019 counting only the distinct ones).

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

The square root of 72160092 is about 8494.7096477749. The cubic root of 72160092 is about 416.3248741213.

The spelling of 72160092 in words is "seventy-two million, one hundred sixty thousand, ninety-two".