387072000 has 480 divisors, whose sum is σ = 1635728640. Its totient is φ = 88473600.

The previous prime is 387071987. The next prime is 387072011. The reversal of 387072000 is 270783.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55295997 + ... + 55296003.

It is an arithmetic number, because the mean of its divisors is an integer number (3407768).

Almost surely, 2^387072000 is an apocalyptic number.

387072000 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 387072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817864320).

387072000 is an abundant number, since it is smaller than the sum of its proper divisors (1248656640).

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

387072000 is an frugal number, since it uses more digits than its factorization.

387072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 387072000 is about 19674.1454706424. The cubic root of 387072000 is about 728.7813532502.

The spelling of 387072000 in words is "three hundred eighty-seven million, seventy-two thousand".