368715072 has 168 divisors, whose sum is σ = 1094536800. Its totient is φ = 109429760.

The previous prime is 368715059. The next prime is 368715107. The reversal of 368715072 is 270517863.

It is a self number, because there is not a number n which added to its sum of digits gives 368715072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1370554 + ... + 1370822.

It is an arithmetic number, because the mean of its divisors is an integer number (6515100).

Almost surely, 2^368715072 is an apocalyptic number.

368715072 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 368715072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547268400).

368715072 is an abundant number, since it is smaller than the sum of its proper divisors (725821728).

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

368715072 is a wasteful number, since it uses less digits than its factorization.

368715072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 368715072 is about 19201.9549004782. The cubic root of 368715072 is about 717.0734291804.

The spelling of 368715072 in words is "three hundred sixty-eight million, seven hundred fifteen thousand, seventy-two".