72272832 has 56 divisors (see below), whose sum is σ = 195907152. Its totient is φ = 23500800.

The previous prime is 72272821. The next prime is 72272839. The reversal of 72272832 is 23827227.

It is a junction number, because it is equal to n+sod(n) for n = 72272793 and 72272802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72272839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3282 + ... + 12462.

It is an arithmetic number, because the mean of its divisors is an integer number (3498342).

Almost surely, 2^72272832 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 72272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97953576).

72272832 is an abundant number, since it is smaller than the sum of its proper divisors (123634320).

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

72272832 is a wasteful number, since it uses less digits than its factorization.

72272832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9237 (or 9227 counting only the distinct ones).

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

The square root of 72272832 is about 8501.3429527340. The cubic root of 72272832 is about 416.5415776681.

The spelling of 72272832 in words is "seventy-two million, two hundred seventy-two thousand, eight hundred thirty-two".