272566164 has 96 divisors (see below), whose sum is σ = 707857920. Its totient is φ = 81099648.

The previous prime is 272566141. The next prime is 272566183. The reversal of 272566164 is 461665272.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1200619 + ... + 1200845.

It is an arithmetic number, because the mean of its divisors is an integer number (7373520).

Almost surely, 2^272566164 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 272566164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353928960).

272566164 is an abundant number, since it is smaller than the sum of its proper divisors (435291756).

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

272566164 is a wasteful number, since it uses less digits than its factorization.

272566164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 272566164 is about 16509.5779473613. The cubic root of 272566164 is about 648.3715956621.

The spelling of 272566164 in words is "two hundred seventy-two million, five hundred sixty-six thousand, one hundred sixty-four".