72147648 has 42 divisors (see below), whose sum is σ = 191202564. Its totient is φ = 24009984.

The previous prime is 72147641. The next prime is 72147671. The reversal of 72147648 is 84674127.

It is a super-2 number, since 2×72147648² = 10410566223863808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72147641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117390 + ... + 118002.

It is an arithmetic number, because the mean of its divisors is an integer number (4552442).

Almost surely, 2^72147648 is an apocalyptic number.

It is an amenable number.

72147648 is an abundant number, since it is smaller than the sum of its proper divisors (119054916).

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

72147648 is an frugal number, since it uses more digits than its factorization.

72147648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 618 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 72147648 is about 8493.9771603178. The cubic root of 72147648 is about 416.3009410191.

The spelling of 72147648 in words is "seventy-two million, one hundred forty-seven thousand, six hundred forty-eight".