39465072 has 60 divisors (see below), whose sum is σ = 112553064. Its totient is φ = 12904320.

The previous prime is 39465061. The next prime is 39465073. The reversal of 39465072 is 27056493.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39465073) 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, 5047 + ... + 10217.

Almost surely, 2^39465072 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 39465072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56276532).

39465072 is an abundant number, since it is smaller than the sum of its proper divisors (73087992).

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

39465072 is a wasteful number, since it uses less digits than its factorization.

39465072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238 (or 5229 counting only the distinct ones).

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

The square root of 39465072 is about 6282.1232079608. The cubic root of 39465072 is about 340.4638191162.

The spelling of 39465072 in words is "thirty-nine million, four hundred sixty-five thousand, seventy-two".