272025936 has 120 divisors (see below), whose sum is σ = 937023360. Its totient is φ = 71739648.

The previous prime is 272025883. The next prime is 272025997. The reversal of 272025936 is 639520272.

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

It is a self number, because there is not a number n which added to its sum of digits gives 272025936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2725 + ... + 23483.

It is an arithmetic number, because the mean of its divisors is an integer number (7808528).

Almost surely, 2^272025936 is an apocalyptic number.

272025936 is a gapful number since it is divisible by the number (26) 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 272025936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468511680).

272025936 is an abundant number, since it is smaller than the sum of its proper divisors (664997424).

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

272025936 is a wasteful number, since it uses less digits than its factorization.

272025936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20793 (or 20784 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 272025936 is about 16493.2087842239. The cubic root of 272025936 is about 647.9429533685.

The spelling of 272025936 in words is "two hundred seventy-two million, twenty-five thousand, nine hundred thirty-six".