72305417271344 has 40 divisors (see below), whose sum is σ = 144933961199760. Its totient is φ = 34903301957888.

The previous prime is 72305417271317. The next prime is 72305417271383. The reversal of 72305417271344 is 44317271450327.

It is a junction number, because it is equal to n+sod(n) for n = 72305417271292 and 72305417271301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286862 + ... + 12028845.

It is an arithmetic number, because the mean of its divisors is an integer number (3623349029994).

Almost surely, 2^{72305417271344} is an apocalyptic number.

It is an amenable number.

72305417271344 is an abundant number, since it is smaller than the sum of its proper divisors (72628543928416).

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

72305417271344 is a wasteful number, since it uses less digits than its factorization.

72305417271344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12328397 (or 12328391 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 50.

The spelling of 72305417271344 in words is "seventy-two trillion, three hundred five billion, four hundred seventeen million, two hundred seventy-one thousand, three hundred forty-four".