272812464 has 60 divisors (see below), whose sum is σ = 808414776. Its totient is φ = 85587456.

The previous prime is 272812457. The next prime is 272812471. The reversal of 272812464 is 464218272.

It is an interprime number because it is at equal distance from previous prime (272812457) and next prime (272812471).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53274 + ... + 58169.

Almost surely, 2^272812464 is an apocalyptic number.

272812464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

272812464 is an abundant number, since it is smaller than the sum of its proper divisors (535602312).

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

272812464 is a wasteful number, since it uses less digits than its factorization.

272812464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111474 (or 111465 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 272812464 is about 16517.0355693750. The cubic root of 272812464 is about 648.5668336968.

The spelling of 272812464 in words is "two hundred seventy-two million, eight hundred twelve thousand, four hundred sixty-four".