39045672 has 64 divisors (see below), whose sum is σ = 109224000. Its totient is φ = 12923712.

The previous prime is 39045667. The next prime is 39045679. The reversal of 39045672 is 27654093.

39045672 is a `hidden beast` number, since 3 + 90 + 4 + 567 + 2 = 666.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (39045679) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34654 + ... + 35762.

It is an arithmetic number, because the mean of its divisors is an integer number (1706625).

Almost surely, 2^39045672 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 39045672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54612000).

39045672 is an abundant number, since it is smaller than the sum of its proper divisors (70178328).

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

39045672 is a wasteful number, since it uses less digits than its factorization.

39045672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 39045672 is about 6248.6536149798. The cubic root of 39045672 is about 339.2534716418.

The spelling of 39045672 in words is "thirty-nine million, forty-five thousand, six hundred seventy-two".