39942720 has 280 divisors, whose sum is σ = 150473664. Its totient is φ = 10036224.

The previous prime is 39942713. The next prime is 39942737. The reversal of 39942720 is 2724993.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596127 + ... + 596193.

Almost surely, 2^39942720 is an apocalyptic number.

39942720 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 39942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75236832).

39942720 is an abundant number, since it is smaller than the sum of its proper divisors (110530944).

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

39942720 is a wasteful number, since it uses less digits than its factorization.

39942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 39942720 is about 6320.0253164050. The cubic root of 39942720 is about 341.8318656470.

The spelling of 39942720 in words is "thirty-nine million, nine hundred forty-two thousand, seven hundred twenty".