72845617390 has 128 divisors (see below), whose sum is σ = 165968167680. Its totient is φ = 22400851968.

The previous prime is 72845617343. The next prime is 72845617433. The reversal of 72845617390 is 9371654827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48921766 + ... + 48923254.

It is an arithmetic number, because the mean of its divisors is an integer number (1296626310).

It is a 2-persistent number, because it is pandigital, and so is 2⋅72845617390 = 145691234780, but 3⋅72845617390 = 218536852170 is not.

Almost surely, 2^72845617390 is an apocalyptic number.

72845617390 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72845617390 is the 220372-nd pentagonal number.

72845617390 is an abundant number, since it is smaller than the sum of its proper divisors (93122550290).

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

72845617390 is a wasteful number, since it uses less digits than its factorization.

72845617390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 72845617390 in words is "seventy-two billion, eight hundred forty-five million, six hundred seventeen thousand, three hundred ninety".