272590920 has 480 divisors, whose sum is σ = 1139660280. Its totient is φ = 58060800.

The previous prime is 272590909. The next prime is 272590933. The reversal of 272590920 is 29095272.

It can be written as a sum of positive squares in 4 ways, for example, as 272448036 + 142884 = 16506^2 + 378^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2698870 + ... + 2698970.

Almost surely, 2^272590920 is an apocalyptic number.

272590920 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 272590920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569830140).

272590920 is an abundant number, since it is smaller than the sum of its proper divisors (867069360).

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

272590920 is a wasteful number, since it uses less digits than its factorization.

272590920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 272590920 is about 16510.3276769421. The cubic root of 272590920 is about 648.3912246592.

The spelling of 272590920 in words is "two hundred seventy-two million, five hundred ninety thousand, nine hundred twenty".