388772 has 12 divisors (see below), whose sum is σ = 689136. Its totient is φ = 191880.

The previous prime is 388757. The next prime is 388777. The reversal of 388772 is 277883.

It is a happy number.

It is a super-2 number, since 2×388772² = 302287335968, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 388772.

It is not an unprimeable number, because it can be changed into a prime (388777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 254 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (57428).

2³⁸⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

388772 is a deficient number, since it is larger than the sum of its proper divisors (300364).

388772 is a wasteful number, since it uses less digits than its factorization.

388772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1256 counting only the distinct ones).

The product of its digits is 18816, while the sum is 35.

The square root of 388772 is about 623.5158378101. The cubic root of 388772 is about 72.9846718302.

Subtracting from 388772 its reverse (277883), we obtain a square (110889 = 333²).

It can be divided in two parts, 38 and 8772, that multiplied together give a triangular number (333336 = T₈₁₆).

The spelling of 388772 in words is "three hundred eighty-eight thousand, seven hundred seventy-two".