72147456 has 160 divisors (see below), whose sum is σ = 226860480. Its totient is φ = 22560768.

The previous prime is 72147443. The next prime is 72147457. The reversal of 72147456 is 65474127.

72147456 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72147456.

It is not an unprimeable number, because it can be changed into a prime (72147457) 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, 234855 + ... + 235161.

It is an arithmetic number, because the mean of its divisors is an integer number (1417878).

Almost surely, 2^72147456 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 72147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

72147456 is an abundant number, since it is smaller than the sum of its proper divisors (154713024).

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

72147456 is a wasteful number, since it uses less digits than its factorization.

72147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 329 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 72147456 is about 8493.9658581843. The cubic root of 72147456 is about 416.3005717308.

The spelling of 72147456 in words is "seventy-two million, one hundred forty-seven thousand, four hundred fifty-six".