387513072 has 70 divisors (see below), whose sum is σ = 1125728792. Its totient is φ = 129167136.

The previous prime is 387513067. The next prime is 387513083. The reversal of 387513072 is 270315783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4948 + ... + 28275.

Almost surely, 2^387513072 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 387513072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562864396).

387513072 is an abundant number, since it is smaller than the sum of its proper divisors (738215720).

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

387513072 is an equidigital number, since it uses as much as digits as its factorization.

387513072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33249 (or 33228 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 387513072 is about 19685.3517113614. The cubic root of 387513072 is about 729.0580657910.

The spelling of 387513072 in words is "three hundred eighty-seven million, five hundred thirteen thousand, seventy-two".