38187072 has 336 divisors, whose sum is σ = 145938240. Its totient is φ = 9676800.

The previous prime is 38187067. The next prime is 38187091. The reversal of 38187072 is 27078183.

It is a tau number, because it is divible by the number of its divisors (336).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931372 + ... + 931412.

It is an arithmetic number, because the mean of its divisors is an integer number (434340).

Almost surely, 2^38187072 is an apocalyptic number.

38187072 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 38187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

38187072 is an abundant number, since it is smaller than the sum of its proper divisors (107751168).

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

38187072 is a wasteful number, since it uses less digits than its factorization.

38187072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 38187072 is about 6179.5689170038. The cubic root of 38187072 is about 336.7483320933.

Subtracting from 38187072 its reverse (27078183), we obtain a square (11108889 = 3333²).

The spelling of 38187072 in words is "thirty-eight million, one hundred eighty-seven thousand, seventy-two".