272496042 has 128 divisors (see below), whose sum is σ = 778014720. Its totient is φ = 68713920.

The previous prime is 272496041. The next prime is 272496061. The reversal of 272496042 is 240694272.

272496042 is a `hidden beast` number, since 2 + 7 + 2 + 49 + 604 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 272495988 and 272496006.

It is not an unprimeable number, because it can be changed into a prime (272496041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111817 + ... + 114227.

It is an arithmetic number, because the mean of its divisors is an integer number (6078240).

Almost surely, 2^272496042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272496042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389007360).

272496042 is an abundant number, since it is smaller than the sum of its proper divisors (505518678).

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

272496042 is a wasteful number, since it uses less digits than its factorization.

272496042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2459 counting only the distinct ones).

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

The square root of 272496042 is about 16507.4541344206. The cubic root of 272496042 is about 648.3159895763.

The spelling of 272496042 in words is "two hundred seventy-two million, four hundred ninety-six thousand, forty-two".