39725040 has 80 divisors (see below), whose sum is σ = 124420608. Its totient is φ = 10483968.

The previous prime is 39725027. The next prime is 39725047. The reversal of 39725040 is 4052793.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 39724989 and 39725007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39725047) 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, 23917 + ... + 25523.

Almost surely, 2^39725040 is an apocalyptic number.

39725040 is a gapful number since it is divisible by the number (30) 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 39725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62210304).

39725040 is an abundant number, since it is smaller than the sum of its proper divisors (84695568).

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

39725040 is a wasteful number, since it uses less digits than its factorization.

39725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 39725040 is about 6302.7803388663. The cubic root of 39725040 is about 341.2097619236.

The spelling of 39725040 in words is "thirty-nine million, seven hundred twenty-five thousand, forty".