72990600390 has 64 divisors (see below), whose sum is σ = 194698883520. Its totient is φ = 19458432000.

The previous prime is 72990600323. The next prime is 72990600391. The reversal of 72990600390 is 9300609927.

72990600390 is a `hidden beast` number, since 7 + 2 + 9 + 9 + 0 + 600 + 39 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72990600391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922390 + ... + 998390.

It is an arithmetic number, because the mean of its divisors is an integer number (3042170055).

Almost surely, 2^72990600390 is an apocalyptic number.

72990600390 is an abundant number, since it is smaller than the sum of its proper divisors (121708283130).

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

72990600390 is a wasteful number, since it uses less digits than its factorization.

72990600390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79574 (or 79568 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

It can be divided in two parts, 72990 and 600390, that added together give a triangular number (673380 = T₁₁₆₀).

The spelling of 72990600390 in words is "seventy-two billion, nine hundred ninety million, six hundred thousand, three hundred ninety".