272235440 has 80 divisors (see below), whose sum is σ = 649913760. Its totient is φ = 106014720.

The previous prime is 272235427. The next prime is 272235443. The reversal of 272235440 is 44532272.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×272235440² = 148224269583987200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (272235443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646430 + ... + 646850.

It is an arithmetic number, because the mean of its divisors is an integer number (8123922).

Almost surely, 2^272235440 is an apocalyptic number.

272235440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

272235440 is the 13472-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324956880).

272235440 is an abundant number, since it is smaller than the sum of its proper divisors (377678320).

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

272235440 is a wasteful number, since it uses less digits than its factorization.

272235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 272235440 is about 16499.5587819796. The cubic root of 272235440 is about 648.1092509999.

The spelling of 272235440 in words is "two hundred seventy-two million, two hundred thirty-five thousand, four hundred forty".