39391872 has 96 divisors (see below), whose sum is σ = 113489280. Its totient is φ = 12100608.

The previous prime is 39391871. The next prime is 39391897. The reversal of 39391872 is 27819393.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (39391871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64593 + ... + 65199.

It is an arithmetic number, because the mean of its divisors is an integer number (1182180).

Almost surely, 2^39391872 is an apocalyptic number.

39391872 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 39391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56744640).

39391872 is an abundant number, since it is smaller than the sum of its proper divisors (74097408).

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

39391872 is a wasteful number, since it uses less digits than its factorization.

39391872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 625 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 39391872 is about 6276.2944481597. The cubic root of 39391872 is about 340.2531908767.

The spelling of 39391872 in words is "thirty-nine million, three hundred ninety-one thousand, eight hundred seventy-two".