4172952 has 64 divisors (see below), whose sum is σ = 12153600. Its totient is φ = 1169280.

The previous prime is 4172929. The next prime is 4172953. The reversal of 4172952 is 2592714.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4172953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9702 + ... + 10122.

It is an arithmetic number, because the mean of its divisors is an integer number (189900).

Almost surely, 2^4172952 is an apocalyptic number.

4172952 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 4172952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076800).

4172952 is an abundant number, since it is smaller than the sum of its proper divisors (7980648).

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

4172952 is a wasteful number, since it uses less digits than its factorization.

4172952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 4172952 is about 2042.7804581012. The cubic root of 4172952 is about 160.9957690850.

The spelling of 4172952 in words is "four million, one hundred seventy-two thousand, nine hundred fifty-two".