38727072 has 120 divisors (see below), whose sum is σ = 116113536. Its totient is φ = 12659328.

The previous prime is 38727067. The next prime is 38727077. The reversal of 38727072 is 27072783.

38727072 is a `hidden beast` number, since 387 + 270 + 7 + 2 = 666.

38727072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38727067) and next prime (38727077).

It is a super-2 number, since 2×38727072² = 2999572211386368, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (38727077) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 173553 + ... + 173775.

Almost surely, 2^38727072 is an apocalyptic number.

38727072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38727072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58056768).

38727072 is an abundant number, since it is smaller than the sum of its proper divisors (77386464).

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

38727072 is a wasteful number, since it uses less digits than its factorization.

38727072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 38727072 is about 6223.1079052191. The cubic root of 38727072 is about 338.3282177607.

The spelling of 38727072 in words is "thirty-eight million, seven hundred twenty-seven thousand, seventy-two".