272224640 has 64 divisors (see below), whose sum is σ = 671829120. Its totient is φ = 105369600.

The previous prime is 272224633. The next prime is 272224663. The reversal of 272224640 is 46422272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12980 + ... + 26700.

It is an arithmetic number, because the mean of its divisors is an integer number (10497330).

Almost surely, 2^272224640 is an apocalyptic number.

272224640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335914560).

272224640 is an abundant number, since it is smaller than the sum of its proper divisors (399604480).

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

272224640 is a wasteful number, since it uses less digits than its factorization.

272224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13771 (or 13759 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 272224640 is about 16499.2314972547. The cubic root of 272224640 is about 648.1006803885.

The spelling of 272224640 in words is "two hundred seventy-two million, two hundred twenty-four thousand, six hundred forty".