38052072 has 64 divisors (see below), whose sum is σ = 106704000. Its totient is φ = 12563712.

The previous prime is 38052071. The next prime is 38052083. The reversal of 38052072 is 27025083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38052071) 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, 23629 + ... + 25187.

It is an arithmetic number, because the mean of its divisors is an integer number (1667250).

Almost surely, 2^38052072 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 38052072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53352000).

38052072 is an abundant number, since it is smaller than the sum of its proper divisors (68651928).

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

38052072 is a wasteful number, since it uses less digits than its factorization.

38052072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 38052072 is about 6168.6361539647. The cubic root of 38052072 is about 336.3510361883.

The spelling of 38052072 in words is "thirty-eight million, fifty-two thousand, seventy-two".