39072768 has 176 divisors, whose sum is σ = 125767680. Its totient is φ = 10543104.

The previous prime is 39072751. The next prime is 39072779. The reversal of 39072768 is 86727093.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494553 + ... + 494631.

Almost surely, 2^39072768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62883840).

39072768 is an abundant number, since it is smaller than the sum of its proper divisors (86694912).

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

39072768 is a wasteful number, since it uses less digits than its factorization.

39072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 39072768 is about 6250.8213860260. The cubic root of 39072768 is about 339.3319292192.

The spelling of 39072768 in words is "thirty-nine million, seventy-two thousand, seven hundred sixty-eight".