375072768 has 480 divisors, whose sum is σ = 1427025600. Its totient is φ = 95551488.

The previous prime is 375072757. The next prime is 375072791. The reversal of 375072768 is 867270573.

375072768 is a `hidden beast` number, since 375 + 0 + 7 + 276 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19740663 + ... + 19740681.

It is an arithmetic number, because the mean of its divisors is an integer number (2972970).

Almost surely, 2^375072768 is an apocalyptic number.

375072768 is a gapful number since it is divisible by the number (38) 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 375072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713512800).

375072768 is an abundant number, since it is smaller than the sum of its proper divisors (1051952832).

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

375072768 is a wasteful number, since it uses less digits than its factorization.

375072768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 375072768 is about 19366.7955015795. The cubic root of 375072768 is about 721.1714264111.

The spelling of 375072768 in words is "three hundred seventy-five million, seventy-two thousand, seven hundred sixty-eight".