38208072 has 64 divisors (see below), whose sum is σ = 109624320. Its totient is φ = 10870848.

The previous prime is 38208059. The next prime is 38208073. The reversal of 38208072 is 27080283.

It is not an unprimeable number, because it can be changed into a prime (38208073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78213 + ... + 78699.

It is an arithmetic number, because the mean of its divisors is an integer number (1712880).

Almost surely, 2^38208072 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 38208072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54812160).

38208072 is an abundant number, since it is smaller than the sum of its proper divisors (71416248).

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

38208072 is a wasteful number, since it uses less digits than its factorization.

38208072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 38208072 is about 6181.2678311168. The cubic root of 38208072 is about 336.8100494817.

The spelling of 38208072 in words is "thirty-eight million, two hundred eight thousand, seventy-two".