38025072 has 160 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 11708928.

The previous prime is 38025047. The next prime is 38025077. The reversal of 38025072 is 27052083.

It is a super-2 number, since 2×38025072² = 2891812201210368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38025077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427204 + ... + 427292.

It is an arithmetic number, because the mean of its divisors is an integer number (736560).

Almost surely, 2^38025072 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 38025072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

38025072 is an abundant number, since it is smaller than the sum of its proper divisors (79824528).

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

38025072 is a wasteful number, since it uses less digits than its factorization.

38025072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

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

The square root of 38025072 is about 6166.4472753766. The cubic root of 38025072 is about 336.2714642904.

It can be divided in two parts, 380 and 25072, that added together give a palindrome (25452).

The spelling of 38025072 in words is "thirty-eight million, twenty-five thousand, seventy-two".