272114640 has 300 divisors, whose sum is σ = 1100678436. Its totient is φ = 62125056.

The previous prime is 272114629. The next prime is 272114651. The reversal of 272114640 is 46411272.

272114640 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 14 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (272114629) and next prime (272114651).

It can be written as a sum of positive squares in 2 ways, for example, as 185177664 + 86936976 = 13608^2 + 9324^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 317092 + ... + 317948.

Almost surely, 2^272114640 is an apocalyptic number.

272114640 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 272114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550339218).

272114640 is an abundant number, since it is smaller than the sum of its proper divisors (828563796).

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

272114640 is a wasteful number, since it uses less digits than its factorization.

272114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 272114640 is about 16495.8976718456. The cubic root of 272114640 is about 648.0133742096.

The spelling of 272114640 in words is "two hundred seventy-two million, one hundred fourteen thousand, six hundred forty".