272628720 has 640 divisors, whose sum is σ = 1233254400. Its totient is φ = 53747712.

The previous prime is 272628709. The next prime is 272628731. The reversal of 272628720 is 27826272.

272628720 is a `hidden beast` number, since 2 + 7 + 2 + 628 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (272628709) and next prime (272628731).

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 127 ways as a sum of consecutive naturals, for example, 3734604 + ... + 3734676.

It is an arithmetic number, because the mean of its divisors is an integer number (1926960).

Almost surely, 2^272628720 is an apocalyptic number.

272628720 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 272628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616627200).

272628720 is an abundant number, since it is smaller than the sum of its proper divisors (960625680).

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

272628720 is a wasteful number, since it uses less digits than its factorization.

272628720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

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

The square root of 272628720 is about 16511.4723752911. The cubic root of 272628720 is about 648.4211939326.

The spelling of 272628720 in words is "two hundred seventy-two million, six hundred twenty-eight thousand, seven hundred twenty".