9072493395364 has 81 divisors (see below), whose sum is σ = 18782063651169. Its totient is φ = 3823385942880.

The previous prime is 9072493395319. The next prime is 9072493395373. The reversal of 9072493395364 is 4635933942709.

The square root of 9072493395364 is 3012058.

It is a perfect power (a square), and thus also a powerful number.

9072493395364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 295020612964 + 8777472782400 = 543158^2 + 2962680^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9072493395296 and 9072493395305.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2572295769 + ... + 2572299295.

Almost surely, 2^{9072493395364} is an apocalyptic number.

9072493395364 is the 3012058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9072493395364

9072493395364 is an abundant number, since it is smaller than the sum of its proper divisors (9709570255805).

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

9072493395364 is an frugal number, since it uses more digits than its factorization.

9072493395364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7194 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 64.

Multiplying 9072493395364 by its sum of digits (64), we get a square (580639577303296 = 24096464²).

The spelling of 9072493395364 in words is "nine trillion, seventy-two billion, four hundred ninety-three million, three hundred ninety-five thousand, three hundred sixty-four".