72860892 has 48 divisors (see below), whose sum is σ = 185845632. Its totient is φ = 22080960.

The previous prime is 72860891. The next prime is 72860903. The reversal of 72860892 is 29806827.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72860891) 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, 6967 + ... + 13937.

It is an arithmetic number, because the mean of its divisors is an integer number (3871784).

Almost surely, 2^72860892 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 72860892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92922816).

72860892 is an abundant number, since it is smaller than the sum of its proper divisors (112984740).

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

72860892 is a wasteful number, since it uses less digits than its factorization.

72860892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058 (or 7056 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 72860892 is about 8535.8591834683. The cubic root of 72860892 is about 417.6682807347.

The spelling of 72860892 in words is "seventy-two million, eight hundred sixty thousand, eight hundred ninety-two".