272625072 has 160 divisors (see below), whose sum is σ = 794949120. Its totient is φ = 80087040.

The previous prime is 272625071. The next prime is 272625083. The reversal of 272625072 is 270526272.

It is not an unprimeable number, because it can be changed into a prime (272625071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859858 + ... + 860174.

It is an arithmetic number, because the mean of its divisors is an integer number (4968432).

Almost surely, 2^272625072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272625072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397474560).

272625072 is an abundant number, since it is smaller than the sum of its proper divisors (522324048).

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

272625072 is a wasteful number, since it uses less digits than its factorization.

272625072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 272625072 is about 16511.3619062753. The cubic root of 272625072 is about 648.4183017807.

The spelling of 272625072 in words is "two hundred seventy-two million, six hundred twenty-five thousand, seventy-two".