272251920 has 320 divisors, whose sum is σ = 955367424. Its totient is φ = 63866880.

The previous prime is 272251907. The next prime is 272251921. The reversal of 272251920 is 29152272.

It is a super-2 number, since 2×272251920² = 148242215887372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (272251921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6331419 + ... + 6331461.

Almost surely, 2^272251920 is an apocalyptic number.

272251920 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 272251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477683712).

272251920 is an abundant number, since it is smaller than the sum of its proper divisors (683115504).

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

272251920 is a wasteful number, since it uses less digits than its factorization.

272251920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 272251920 is about 16500.0581817156. The cubic root of 272251920 is about 648.1223286811.

The spelling of 272251920 in words is "two hundred seventy-two million, two hundred fifty-one thousand, nine hundred twenty".