72406872 has 80 divisors (see below), whose sum is σ = 213516600. Its totient is φ = 22861440.

The previous prime is 72406843. The next prime is 72406877. The reversal of 72406872 is 27860427.

It is a super-2 number, since 2×72406872² = 10485510225648768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72406877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9372 + ... + 15252.

Almost surely, 2^72406872 is an apocalyptic number.

72406872 is a gapful number since it is divisible by the number (72) 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 72406872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106758300).

72406872 is an abundant number, since it is smaller than the sum of its proper divisors (141109728).

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

72406872 is a wasteful number, since it uses less digits than its factorization.

72406872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72406872 is about 8509.2227612162. Note that the first 3 decimals coincide. The cubic root of 72406872 is about 416.7989300287.

The spelling of 72406872 in words is "seventy-two million, four hundred six thousand, eight hundred seventy-two".