39072870 has 48 divisors (see below), whose sum is σ = 102166272. Its totient is φ = 10360320.

The previous prime is 39072857. The next prime is 39072871. The reversal of 39072870 is 7827093.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39072871) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16054 + ... + 18326.

It is an arithmetic number, because the mean of its divisors is an integer number (2128464).

Almost surely, 2^39072870 is an apocalyptic number.

39072870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39072870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51083136).

39072870 is an abundant number, since it is smaller than the sum of its proper divisors (63093402).

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

39072870 is a wasteful number, since it uses less digits than its factorization.

39072870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 39072870 is about 6250.8295449484. The cubic root of 39072870 is about 339.3322244959.

The spelling of 39072870 in words is "thirty-nine million, seventy-two thousand, eight hundred seventy".