4172688 has 80 divisors (see below), whose sum is σ = 12915840. Its totient is φ = 1282176.

The previous prime is 4172681. The next prime is 4172699. The reversal of 4172688 is 8862714.

It is a super-2 number, since 2×4172688² = 34822650290688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4172681) 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, 5245 + ... + 5987.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^4172688 is an apocalyptic number.

4172688 is a gapful number since it is divisible by the number (48) 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 4172688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457920).

4172688 is an abundant number, since it is smaller than the sum of its proper divisors (8743152).

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

4172688 is a wasteful number, since it uses less digits than its factorization.

4172688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 761 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 4172688 is about 2042.7158392689. The cubic root of 4172688 is about 160.9923739042.

It can be divided in two parts, 41726 and 88, that added together give a palindrome (41814).

The spelling of 4172688 in words is "four million, one hundred seventy-two thousand, six hundred eighty-eight".