4027750272 has 384 divisors, whose sum is σ = 14803676160. Its totient is φ = 1061517312.

The previous prime is 4027750261. The next prime is 4027750291. The reversal of 4027750272 is 2720577204.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2829753 + ... + 2831175.

It is an arithmetic number, because the mean of its divisors is an integer number (38551240).

Almost surely, 2^4027750272 is an apocalyptic number.

4027750272 is a gapful number since it is divisible by the number (42) 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 4027750272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401838080).

4027750272 is an abundant number, since it is smaller than the sum of its proper divisors (10775925888).

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

4027750272 is a wasteful number, since it uses less digits than its factorization.

4027750272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 4027750272 is about 63464.5591806955. The cubic root of 4027750272 is about 1591.0634964083.

The spelling of 4027750272 in words is "four billion, twenty-seven million, seven hundred fifty thousand, two hundred seventy-two".