38110072 has 64 divisors (see below), whose sum is σ = 95961600. Its totient is φ = 13703040.

The previous prime is 38110049. The next prime is 38110081. The reversal of 38110072 is 27001183.

It is a super-3 number, since 3×38110072³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5629 + ... + 10387.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 2^38110072 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 38110072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47980800).

38110072 is an abundant number, since it is smaller than the sum of its proper divisors (57851528).

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

38110072 is a wasteful number, since it uses less digits than its factorization.

38110072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 38110072 is about 6173.3355651544. The cubic root of 38110072 is about 336.5218412258.

Subtracting from 38110072 its reverse (27001183), we obtain a square (11108889 = 3333²).

The spelling of 38110072 in words is "thirty-eight million, one hundred ten thousand, seventy-two".