39199872 has 128 divisors (see below), whose sum is σ = 111628800. Its totient is φ = 12165120.

The previous prime is 39199859. The next prime is 39199877. The reversal of 39199872 is 27899193.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (244944) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (39199877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440404 + ... + 440492.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 2^39199872 is an apocalyptic number.

39199872 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 39199872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55814400).

39199872 is an abundant number, since it is smaller than the sum of its proper divisors (72428928).

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

39199872 is a wasteful number, since it uses less digits than its factorization.

39199872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its digits is 244944, while the sum is 48.

The square root of 39199872 is about 6260.9801149660. The cubic root of 39199872 is about 339.6994807066.

The spelling of 39199872 in words is "thirty-nine million, one hundred ninety-nine thousand, eight hundred seventy-two".