272350080 has 128 divisors (see below), whose sum is σ = 964634400. Its totient is φ = 72622080.

The previous prime is 272350073. The next prime is 272350129. The reversal of 272350080 is 80053272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 9400 + ... + 25160.

Almost surely, 2^272350080 is an apocalyptic number.

272350080 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 272350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482317200).

272350080 is an abundant number, since it is smaller than the sum of its proper divisors (692284320).

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

272350080 is a wasteful number, since it uses less digits than its factorization.

272350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15789 (or 15771 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 272350080 is about 16503.0324486138. The cubic root of 272350080 is about 648.2002124824.

The spelling of 272350080 in words is "two hundred seventy-two million, three hundred fifty thousand, eighty".