387672 has 32 divisors (see below), whose sum is σ = 1004400. Its totient is φ = 124544.

The previous prime is 387659. The next prime is 387677. The reversal of 387672 is 276783.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387677) 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, 418 + ... + 974.

2³⁸⁷⁶⁷² 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 387672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502200).

387672 is an abundant number, since it is smaller than the sum of its proper divisors (616728).

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

387672 is a wasteful number, since it uses less digits than its factorization.

387672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 387672 is about 622.6331182968. The cubic root of 387672 is about 72.9157719981.

Subtracting from 387672 its reverse (276783), we obtain a square (110889 = 333²).

The spelling of 387672 in words is "three hundred eighty-seven thousand, six hundred seventy-two".