38754072 has 192 divisors, whose sum is σ = 131673600. Its totient is φ = 10342080.

The previous prime is 38754049. The next prime is 38754109. The reversal of 38754072 is 27045783.

38754072 = 58³ + 59³ + ... + 113³.

38754072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545797 + ... + 545867.

It is an arithmetic number, because the mean of its divisors is an integer number (685800).

Almost surely, 2^38754072 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 38754072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65836800).

38754072 is an abundant number, since it is smaller than the sum of its proper divisors (92919528).

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

38754072 is a wasteful number, since it uses less digits than its factorization.

38754072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 38754072 is about 6225.2768613131. The cubic root of 38754072 is about 338.4068254747.

The spelling of 38754072 in words is "thirty-eight million, seven hundred fifty-four thousand, seventy-two".