38472 has 32 divisors (see below), whose sum is σ = 110400. Its totient is φ = 10944.

The previous prime is 38461. The next prime is 38501. The reversal of 38472 is 27483.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an unprimeable number.

38472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (3450).

2³⁸⁴⁷² 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 38472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55200).

38472 is an abundant number, since it is smaller than the sum of its proper divisors (71928).

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

38472 is a wasteful number, since it uses less digits than its factorization.

38472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 38472 is about 196.1428051191. The cubic root of 38472 is about 33.7583792638.

Subtracting from 38472 its product of digits (1344), we obtain a triangular number (37128 = T₂₇₂).

The spelling of 38472 in words is "thirty-eight thousand, four hundred seventy-two".