387972 has 36 divisors (see below), whose sum is σ = 1057420. Its totient is φ = 119232.

The previous prime is 387971. The next prime is 387973. The reversal of 387972 is 279783.

387972 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (387971) and next prime (387973).

It can be written as a sum of positive squares in 2 ways, for example, as 133956 + 254016 = 366^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54 + ... + 882.

2³⁸⁷⁹⁷² 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 387972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528710).

387972 is an abundant number, since it is smaller than the sum of its proper divisors (669448).

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

387972 is a wasteful number, since it uses less digits than its factorization.

387972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 847 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 387972 is about 622.8739840449. The cubic root of 387972 is about 72.9345757733.

The spelling of 387972 in words is "three hundred eighty-seven thousand, nine hundred seventy-two".