387192 has 64 divisors (see below), whose sum is σ = 1118880. Its totient is φ = 110592.

The previous prime is 387187. The next prime is 387197. The reversal of 387192 is 291783.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (387187) and next prime (387197).

Its product of digits (3024) is a multiple of the sum of its prime divisors (108).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5268 + ... + 5340.

2³⁸⁷¹⁹² 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 387192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559440).

387192 is an abundant number, since it is smaller than the sum of its proper divisors (731688).

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

387192 is a wasteful number, since it uses less digits than its factorization.

387192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 387192 is about 622.2475391675. The cubic root of 387192 is about 72.8856657695.

The spelling of 387192 in words is "three hundred eighty-seven thousand, one hundred ninety-two".