39791872 has 36 divisors (see below), whose sum is σ = 81594436. Its totient is φ = 19353600.

The previous prime is 39791839. The next prime is 39791957. The reversal of 39791872 is 27819793.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18113536 + 21678336 = 4256^2 + 4656^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7372 + ... + 11572.

Almost surely, 2^39791872 is an apocalyptic number.

39791872 is a gapful number since it is divisible by the number (32) 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 39791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40797218).

39791872 is an abundant number, since it is smaller than the sum of its proper divisors (41802564).

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

39791872 is an equidigital number, since it uses as much as digits as its factorization.

39791872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4240 counting only the distinct ones).

The product of its digits is 190512, while the sum is 46.

The square root of 39791872 is about 6308.0798980355. The cubic root of 39791872 is about 341.4010011242.

It can be divided in two parts, 39 and 791872, that added together give a triangular number (791911 = T₁₂₅₈).

The spelling of 39791872 in words is "thirty-nine million, seven hundred ninety-one thousand, eight hundred seventy-two".