72442176 has 56 divisors (see below), whose sum is σ = 192450720. Its totient is φ = 24049152.

The previous prime is 72442159. The next prime is 72442187. The reversal of 72442176 is 67124427.

It is a super-2 number, since 2×72442176² = 10495737727229952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58330 + ... + 59558.

It is an arithmetic number, because the mean of its divisors is an integer number (3436620).

Almost surely, 2^72442176 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 72442176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96225360).

72442176 is an abundant number, since it is smaller than the sum of its proper divisors (120008544).

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

72442176 is a wasteful number, since it uses less digits than its factorization.

72442176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1541 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 72442176 is about 8511.2969634481. The cubic root of 72442176 is about 416.8666596891.

The spelling of 72442176 in words is "seventy-two million, four hundred forty-two thousand, one hundred seventy-six".