390063072 has 96 divisors (see below), whose sum is σ = 1221115392. Its totient is φ = 106596864.

The previous prime is 390063071. The next prime is 390063119. The reversal of 390063072 is 270360093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390063071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2838 + ... + 28074.

It is an arithmetic number, because the mean of its divisors is an integer number (12719952).

Almost surely, 2^390063072 is an apocalyptic number.

390063072 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 390063072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610557696).

390063072 is an abundant number, since it is smaller than the sum of its proper divisors (831052320).

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

390063072 is a wasteful number, since it uses less digits than its factorization.

390063072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25280 (or 25272 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 390063072 is about 19750.0144810073. The cubic root of 390063072 is about 730.6537410173.

The spelling of 390063072 in words is "three hundred ninety million, sixty-three thousand, seventy-two".