72298272 has 48 divisors (see below), whose sum is σ = 192205440. Its totient is φ = 23791872.

The previous prime is 72298253. The next prime is 72298273. The reversal of 72298272 is 27289227.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72298272.

It is not an unprimeable number, because it can be changed into a prime (72298273) 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, 2818 + ... + 12350.

It is an arithmetic number, because the mean of its divisors is an integer number (4004280).

Almost surely, 2^72298272 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 72298272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96102720).

72298272 is an abundant number, since it is smaller than the sum of its proper divisors (119907168).

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

72298272 is a wasteful number, since it uses less digits than its factorization.

72298272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9625 (or 9617 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 72298272 is about 8502.8390552803. The cubic root of 72298272 is about 416.5904460756.

The spelling of 72298272 in words is "seventy-two million, two hundred ninety-eight thousand, two hundred seventy-two".