272957952 has 160 divisors (see below), whose sum is σ = 785664000. Its totient is φ = 83939328.

The previous prime is 272957911. The next prime is 272957953. The reversal of 272957952 is 259759272.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (793800) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272957953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371549 + ... + 1371747.

It is an arithmetic number, because the mean of its divisors is an integer number (4910400).

Almost surely, 2^272957952 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 272957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392832000).

272957952 is an abundant number, since it is smaller than the sum of its proper divisors (512706048).

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

272957952 is a wasteful number, since it uses less digits than its factorization.

272957952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its digits is 793800, while the sum is 48.

The square root of 272957952 is about 16521.4391624943. The cubic root of 272957952 is about 648.6821044846.

The spelling of 272957952 in words is "two hundred seventy-two million, nine hundred fifty-seven thousand, nine hundred fifty-two".