272110080 has 160 divisors (see below), whose sum is σ = 949278528. Its totient is φ = 65945600.

The previous prime is 272110067. The next prime is 272110093. The reversal of 272110080 is 80011272.

It is an interprime number because it is at equal distance from previous prime (272110067) and next prime (272110093).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82870 + ... + 86090.

Almost surely, 2^272110080 is an apocalyptic number.

272110080 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 272110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474639264).

272110080 is an abundant number, since it is smaller than the sum of its proper divisors (677168448).

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

272110080 is a wasteful number, since it uses less digits than its factorization.

272110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 272110080 is about 16495.7594550842. The cubic root of 272110080 is about 648.0097544637.

The spelling of 272110080 in words is "two hundred seventy-two million, one hundred ten thousand, eighty".