72848272 has 40 divisors (see below), whose sum is σ = 163596672. Its totient is φ = 30777600.

The previous prime is 72848231. The next prime is 72848287. The reversal of 72848272 is 27284827.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 3372 + ... + 12532.

Almost surely, 2^72848272 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 72848272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81798336).

72848272 is an abundant number, since it is smaller than the sum of its proper divisors (90748400).

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

72848272 is a wasteful number, since it uses less digits than its factorization.

72848272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247 (or 9241 counting only the distinct ones).

The product of its digits is 100352, while the sum is 40.

The square root of 72848272 is about 8535.1199171423. The cubic root of 72848272 is about 417.6441650172.

The spelling of 72848272 in words is "seventy-two million, eight hundred forty-eight thousand, two hundred seventy-two".