272903120 has 80 divisors (see below), whose sum is σ = 744797568. Its totient is φ = 91031040.

The previous prime is 272903107. The next prime is 272903129. The reversal of 272903120 is 21309272.

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

It is a super-2 number, since 2×272903120² = 148952225811468800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 272903120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272903129) 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, 14135 + ... + 27305.

Almost surely, 2^272903120 is an apocalyptic number.

272903120 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 272903120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372398784).

272903120 is an abundant number, since it is smaller than the sum of its proper divisors (471894448).

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

272903120 is a wasteful number, since it uses less digits than its factorization.

272903120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13228 (or 13222 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 272903120 is about 16519.7796595475. The cubic root of 272903120 is about 648.6386656584.

The spelling of 272903120 in words is "two hundred seventy-two million, nine hundred three thousand, one hundred twenty".