272352000 has 144 divisors (see below), whose sum is σ = 904936032. Its totient is φ = 72601600.

The previous prime is 272351999. The next prime is 272352037. The reversal of 272352000 is 253272.

It is a super-2 number, since 2×272352000² = 148351223808000000, which contains 22 as substring.

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, 94582 + ... + 97418.

It is an arithmetic number, because the mean of its divisors is an integer number (6284278).

Almost surely, 2^272352000 is an apocalyptic number.

272352000 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 272352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452468016).

272352000 is an abundant number, since it is smaller than the sum of its proper divisors (632584032).

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

272352000 is an equidigital number, since it uses as much as digits as its factorization.

272352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 272352000 is about 16503.0906196385. The cubic root of 272352000 is about 648.2017356953.

The spelling of 272352000 in words is "two hundred seventy-two million, three hundred fifty-two thousand".