39725640 has 192 divisors, whose sum is σ = 138116160. Its totient is φ = 10264320.

The previous prime is 39725633. The next prime is 39725657. The reversal of 39725640 is 4652793.

39725640 is a `hidden beast` number, since 3 + 9 + 7 + 2 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39725595 and 39725604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 592887 + ... + 592953.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

It is a vampire number, since it can be written as 5490 ⋅ 7236 (with its own digits).

Almost surely, 2^39725640 is an apocalyptic number.

39725640 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 39725640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

39725640 is an abundant number, since it is smaller than the sum of its proper divisors (98390520).

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

39725640 is a wasteful number, since it uses less digits than its factorization.

39725640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

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

The square root of 39725640 is about 6302.8279367281. The cubic root of 39725640 is about 341.2114797723.

The spelling of 39725640 in words is "thirty-nine million, seven hundred twenty-five thousand, six hundred forty".