272025000 has 384 divisors, whose sum is σ = 1049932800. Its totient is φ = 64800000.

The previous prime is 272024993. The next prime is 272025059. The reversal of 272025000 is 520272.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8774985 + ... + 8775015.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^272025000 is an apocalyptic number.

272025000 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 272025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524966400).

272025000 is an abundant number, since it is smaller than the sum of its proper divisors (777907800).

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

272025000 is a wasteful number, since it uses less digits than its factorization.

272025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

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

The square root of 272025000 is about 16493.1804088842. The cubic root of 272025000 is about 647.9422102099.

Adding to 272025000 its reverse (520272), we get a palindrome (272545272).

The spelling of 272025000 in words is "two hundred seventy-two million, twenty-five thousand".