72114272 has 48 divisors (see below), whose sum is σ = 158261040. Its totient is φ = 32145408.

The previous prime is 72114247. The next prime is 72114299. The reversal of 72114272 is 27241127.

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, 6848 + ... + 13824.

It is an arithmetic number, because the mean of its divisors is an integer number (3297105).

Almost surely, 2^72114272 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 72114272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79130520).

72114272 is an abundant number, since it is smaller than the sum of its proper divisors (86146768).

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

72114272 is a wasteful number, since it uses less digits than its factorization.

72114272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7023 (or 7015 counting only the distinct ones).

The product of its digits is 1568, while the sum is 26.

The square root of 72114272 is about 8492.0122468117. The cubic root of 72114272 is about 416.2367365546.

Adding to 72114272 its reverse (27241127), we get a palindrome (99355399).

The spelling of 72114272 in words is "seventy-two million, one hundred fourteen thousand, two hundred seventy-two".