4172146272 has 384 divisors, whose sum is σ = 14718412800. Its totient is φ = 1124057088.

The previous prime is 4172146261. The next prime is 4172146339. The reversal of 4172146272 is 2726412714.

4172146272 is a `hidden beast` number, since 4 + 1 + 7 + 21 + 4 + 627 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12380088 + ... + 12380424.

It is an arithmetic number, because the mean of its divisors is an integer number (38329200).

Almost surely, 2^4172146272 is an apocalyptic number.

4172146272 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 4172146272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359206400).

4172146272 is an abundant number, since it is smaller than the sum of its proper divisors (10546266528).

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

4172146272 is a wasteful number, since it uses less digits than its factorization.

4172146272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 4172146272 is about 64592.1533314999. The cubic root of 4172146272 is about 1609.8540654475.

Adding to 4172146272 its reverse (2726412714), we get a palindrome (6898558986).

It can be divided in two parts, 417 and 2146272, that added together give a cube (2146689 = 129³).

The spelling of 4172146272 in words is "four billion, one hundred seventy-two million, one hundred forty-six thousand, two hundred seventy-two".