272361120 has 96 divisors (see below), whose sum is σ = 860243328. Its totient is φ = 72434688.

The previous prime is 272361119. The next prime is 272361161. The reversal of 272361120 is 21163272.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 310122 + ... + 310998.

It is an arithmetic number, because the mean of its divisors is an integer number (8960868).

Almost surely, 2^272361120 is an apocalyptic number.

272361120 is a gapful number since it is divisible by the number (20) 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 272361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430121664).

272361120 is an abundant number, since it is smaller than the sum of its proper divisors (587882208).

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

272361120 is a wasteful number, since it uses less digits than its factorization.

272361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 272361120 is about 16503.3669292057. The cubic root of 272361120 is about 648.2089708590.

The spelling of 272361120 in words is "two hundred seventy-two million, three hundred sixty-one thousand, one hundred twenty".