39375672 has 96 divisors (see below), whose sum is σ = 119656320. Its totient is φ = 10575360.

The previous prime is 39375671. The next prime is 39375697. The reversal of 39375672 is 27657393.

It is a happy number.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39375671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48147 + ... + 48957.

It is an arithmetic number, because the mean of its divisors is an integer number (1246420).

Almost surely, 2^39375672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39375672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59828160).

39375672 is an abundant number, since it is smaller than the sum of its proper divisors (80280648).

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

39375672 is a wasteful number, since it uses less digits than its factorization.

39375672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 840 counting only the distinct ones).

The product of its digits is 238140, while the sum is 42.

The square root of 39375672 is about 6275.0037450188. The cubic root of 39375672 is about 340.2065411729.

It can be divided in two parts, 393756 and 72, that added together give a triangular number (393828 = T₈₈₇).

The spelling of 39375672 in words is "thirty-nine million, three hundred seventy-five thousand, six hundred seventy-two".