272305152 has 330 divisors, whose sum is σ = 960034812. Its totient is φ = 76640256.

The previous prime is 272305151. The next prime is 272305181. The reversal of 272305152 is 251503272.

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

It is not an unprimeable number, because it can be changed into a prime (272305151) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4064223 + ... + 4064289.

Almost surely, 2^272305152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480017406).

272305152 is an abundant number, since it is smaller than the sum of its proper divisors (687729660).

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

272305152 is an equidigital number, since it uses as much as digits as its factorization.

272305152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 272305152 is about 16501.6711880949. The cubic root of 272305152 is about 648.1645672562.

The spelling of 272305152 in words is "two hundred seventy-two million, three hundred five thousand, one hundred fifty-two".