72225312 has 48 divisors (see below), whose sum is σ = 196136640. Its totient is φ = 23244032.

The previous prime is 72225311. The next prime is 72225343. The reversal of 72225312 is 21352227.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (72225311) 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, 10188 + ... + 15755.

It is an arithmetic number, because the mean of its divisors is an integer number (4086180).

Almost surely, 2^72225312 is an apocalyptic number.

It is an amenable number.

72225312 is an abundant number, since it is smaller than the sum of its proper divisors (123911328).

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

72225312 is a wasteful number, since it uses less digits than its factorization.

72225312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25985 (or 25977 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 72225312 is about 8498.5476406266. The cubic root of 72225312 is about 416.4502644454.

Adding to 72225312 its reverse (21352227), we get a palindrome (93577539).

The spelling of 72225312 in words is "seventy-two million, two hundred twenty-five thousand, three hundred twelve".