39006720 has 120 divisors (see below), whose sum is σ = 135171036. Its totient is φ = 10395648.

The previous prime is 39006713. The next prime is 39006727. The reversal of 39006720 is 2760093.

It is an interprime number because it is at equal distance from previous prime (39006713) and next prime (39006727).

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 665856 = 6192^2 + 816^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (39006727) 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, 22194 + ... + 23886.

Almost surely, 2^39006720 is an apocalyptic number.

39006720 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 39006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67585518).

39006720 is an abundant number, since it is smaller than the sum of its proper divisors (96164316).

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

39006720 is a wasteful number, since it uses less digits than its factorization.

39006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 39006720 is about 6245.5360058205. The cubic root of 39006720 is about 339.1406209101.

The spelling of 39006720 in words is "thirty-nine million, six thousand, seven hundred twenty".