387552 has 48 divisors (see below), whose sum is σ = 1112832. Its totient is φ = 117120.

The previous prime is 387551. The next prime is 387577. The reversal of 387552 is 255783.

It is a happy number.

387552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (23184).

2³⁸⁷⁵⁵² is an apocalyptic number.

387552 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 387552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556416).

387552 is an abundant number, since it is smaller than the sum of its proper divisors (725280).

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

387552 is a wasteful number, since it uses less digits than its factorization.

387552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 387552 is about 622.5367459034. The cubic root of 387552 is about 72.9082477718.

Subtracting from 387552 its reverse (255783), we obtain a square (131769 = 363²).

It can be divided in two parts, 387 and 552, that added together give a palindrome (939).

The spelling of 387552 in words is "three hundred eighty-seven thousand, five hundred fifty-two".