387972120 has 64 divisors (see below), whose sum is σ = 1171386720. Its totient is φ = 102795264.

The previous prime is 387972107. The next prime is 387972127. The reversal of 387972120 is 21279783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387972127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8544 + ... + 29136.

Almost surely, 2^387972120 is an apocalyptic number.

387972120 is a gapful number since it is divisible by the number (30) 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 387972120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585693360).

387972120 is an abundant number, since it is smaller than the sum of its proper divisors (783414600).

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

387972120 is a wasteful number, since it uses less digits than its factorization.

387972120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20764 (or 20760 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 387972120 is about 19697.0078946017. The cubic root of 387972120 is about 729.3458329288.

The spelling of 387972120 in words is "three hundred eighty-seven million, nine hundred seventy-two thousand, one hundred twenty".