272052000 has 384 divisors, whose sum is σ = 1085011200. Its totient is φ = 65664000.

The previous prime is 272051999. The next prime is 272052029. The reversal of 272052000 is 250272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1187886 + ... + 1188114.

It is an arithmetic number, because the mean of its divisors is an integer number (2825550).

Almost surely, 2^272052000 is an apocalyptic number.

272052000 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 272052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542505600).

272052000 is an abundant number, since it is smaller than the sum of its proper divisors (812959200).

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

272052000 is a wasteful number, since it uses less digits than its factorization.

272052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 272052000 is about 16493.9989086940. The cubic root of 272052000 is about 647.9636467946.

The spelling of 272052000 in words is "two hundred seventy-two million, fifty-two thousand".