272661642 has 72 divisors (see below), whose sum is σ = 677712672. Its totient is φ = 79017840.

The previous prime is 272661637. The next prime is 272661671. The reversal of 272661642 is 246166272.

272661642 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 6 + 1 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 272661597 and 272661606.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47373 + ... + 52815.

It is an arithmetic number, because the mean of its divisors is an integer number (9412676).

Almost surely, 2^272661642 is an apocalyptic number.

272661642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 272661642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338856336).

272661642 is an abundant number, since it is smaller than the sum of its proper divisors (405051030).

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

272661642 is a wasteful number, since it uses less digits than its factorization.

272661642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5482 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 272661642 is about 16512.4692883893. The cubic root of 272661642 is about 648.4472934858.

The spelling of 272661642 in words is "two hundred seventy-two million, six hundred sixty-one thousand, six hundred forty-two".