4027272000 has 224 divisors, whose sum is σ = 13729557504. Its totient is φ = 1039104000.

The previous prime is 4027271971. The next prime is 4027272019. The reversal of 4027272000 is 2727204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741294 + ... + 746706.

Almost surely, 2^4027272000 is an apocalyptic number.

4027272000 is a gapful number since it is divisible by the number (40) 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 4027272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864778752).

4027272000 is an abundant number, since it is smaller than the sum of its proper divisors (9702285504).

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

4027272000 is a wasteful number, since it uses less digits than its factorization.

4027272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 4027272000 is about 63460.7910445497. The cubic root of 4027272000 is about 1591.0005173927. Note that the first 3 decimals are identical.

Adding to 4027272000 its reverse (2727204), we get a palindrome (4029999204).

The spelling of 4027272000 in words is "four billion, twenty-seven million, two hundred seventy-two thousand".