38007072 has 36 divisors (see below), whose sum is σ = 108083430. Its totient is φ = 12668928.

The previous prime is 38007061. The next prime is 38007077. The reversal of 38007072 is 27070083.

It can be written as a sum of positive squares in only one way, i.e., 37015056 + 992016 = 6084^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (38007077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65697 + ... + 66272.

Almost surely, 2^38007072 is an apocalyptic number.

38007072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38007072 is an abundant number, since it is smaller than the sum of its proper divisors (70076358).

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

38007072 is a wasteful number, since it uses less digits than its factorization.

38007072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131985 (or 131974 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 38007072 is about 6164.9875912284. The cubic root of 38007072 is about 336.2183954302.

The spelling of 38007072 in words is "thirty-eight million, seven thousand, seventy-two".