38307072 has 72 divisors (see below), whose sum is σ = 105306880. Its totient is φ = 12349440.

The previous prime is 38307053. The next prime is 38307089. The reversal of 38307072 is 27070383.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23004 + ... + 24612.

Almost surely, 2^38307072 is an apocalyptic number.

38307072 is a gapful number since it is divisible by the number (32) 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 38307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52653440).

38307072 is an abundant number, since it is smaller than the sum of its proper divisors (66999808).

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

38307072 is a wasteful number, since it uses less digits than its factorization.

38307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 38307072 is about 6189.2707163284. The cubic root of 38307072 is about 337.1006986860.

The spelling of 38307072 in words is "thirty-eight million, three hundred seven thousand, seventy-two".