272682720 has 384 divisors, whose sum is σ = 1045094400. Its totient is φ = 66134016.

The previous prime is 272682713. The next prime is 272682757. The reversal of 272682720 is 27286272.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3451641 + ... + 3451719.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^272682720 is an apocalyptic number.

272682720 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 272682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522547200).

272682720 is an abundant number, since it is smaller than the sum of its proper divisors (772411680).

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

272682720 is a wasteful number, since it uses less digits than its factorization.

272682720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 272682720 is about 16513.1075209968. The cubic root of 272682720 is about 648.4640023755.

The spelling of 272682720 in words is "two hundred seventy-two million, six hundred eighty-two thousand, seven hundred twenty".