387999072 has 144 divisors (see below), whose sum is σ = 1173109392. Its totient is φ = 126074880.

The previous prime is 387999071. The next prime is 387999083. The reversal of 387999072 is 270999783.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×387999072² = 301086559745722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387999071) 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 23 ways as a sum of consecutive naturals, for example, 318208 + ... + 319424.

It is an arithmetic number, because the mean of its divisors is an integer number (8146593).

Almost surely, 2^387999072 is an apocalyptic number.

387999072 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 387999072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586554696).

387999072 is an abundant number, since it is smaller than the sum of its proper divisors (785110320).

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

387999072 is a wasteful number, since it uses less digits than its factorization.

387999072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 387999072 is about 19697.6920475471. The cubic root of 387999072 is about 729.3627214909.

The spelling of 387999072 in words is "three hundred eighty-seven million, nine hundred ninety-nine thousand, seventy-two".