72147248 has 20 divisors (see below), whose sum is σ = 139918128. Its totient is φ = 36039360.

The previous prime is 72147247. The next prime is 72147253. The reversal of 72147248 is 84274127.

It is a happy number.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72147241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28565 + ... + 30987.

Almost surely, 2^72147248 is an apocalyptic number.

It is an amenable number.

72147248 is a deficient number, since it is larger than the sum of its proper divisors (67770880).

72147248 is a wasteful number, since it uses less digits than its factorization.

72147248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4286 counting only the distinct ones).

The product of its digits is 25088, while the sum is 35.

The square root of 72147248 is about 8493.9536141893. The cubic root of 72147248 is about 416.3001716677.

The spelling of 72147248 in words is "seventy-two million, one hundred forty-seven thousand, two hundred forty-eight".