272801088 has 224 divisors, whose sum is σ = 965606400. Its totient is φ = 73778688.

The previous prime is 272801083. The next prime is 272801143. The reversal of 272801088 is 880108272.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×272801088² = 148840867227967488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272801083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229231 + ... + 230417.

Almost surely, 2^272801088 is an apocalyptic number.

272801088 is a gapful number since it is divisible by the number (28) 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 272801088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482803200).

272801088 is an abundant number, since it is smaller than the sum of its proper divisors (692805312).

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

272801088 is a wasteful number, since it uses less digits than its factorization.

272801088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 272801088 is about 16516.6911940618. The cubic root of 272801088 is about 648.5578187142.

The spelling of 272801088 in words is "two hundred seventy-two million, eight hundred one thousand, eighty-eight".