72295392 has 96 divisors (see below), whose sum is σ = 208420128. Its totient is φ = 21805056.

The previous prime is 72295369. The next prime is 72295397. The reversal of 72295392 is 29359227.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 72295392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72295397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65598 + ... + 66690.

It is an arithmetic number, because the mean of its divisors is an integer number (2171043).

Almost surely, 2^72295392 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 72295392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104210064).

72295392 is an abundant number, since it is smaller than the sum of its proper divisors (136124736).

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

72295392 is a wasteful number, since it uses less digits than its factorization.

72295392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1164 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 72295392 is about 8502.6696983947. The cubic root of 72295392 is about 416.5849143786.

It can be divided in two parts, 7229 and 5392, that added together give a palindrome (12621).

The spelling of 72295392 in words is "seventy-two million, two hundred ninety-five thousand, three hundred ninety-two".