2725272000 has 896 divisors, whose sum is σ = 11563868160. Its totient is φ = 622080000.

The previous prime is 2725271981. The next prime is 2725272007. The reversal of 2725272000 is 2725272.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725272007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73655982 + ... + 73656018.

Almost surely, 2^2725272000 is an apocalyptic number.

2725272000 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 2725272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781934080).

2725272000 is an abundant number, since it is smaller than the sum of its proper divisors (8838596160).

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

2725272000 is a wasteful number, since it uses less digits than its factorization.

2725272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2725272000 is about 52204.1377670391. The cubic root of 2725272000 is about 1396.8076923562.

Adding to 2725272000 its reverse (2725272), we get a palindrome (2727997272).

2725272000 divided by its reverse (2725272) gives a cube (1000 = 10³).

The spelling of 2725272000 in words is "two billion, seven hundred twenty-five million, two hundred seventy-two thousand".