72794198416 has 45 divisors (see below), whose sum is σ = 145033198401. Its totient is φ = 35393967936.

The previous prime is 72794198369. The next prime is 72794198431. The reversal of 72794198416 is 61489149727.

The square root of 72794198416 is 269804.

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

It can be written as a sum of positive squares in only one way, i.e., 65137248400 + 7656950016 = 255220^2 + 87504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39930081 + ... + 39931903.

Almost surely, 2^72794198416 is an apocalyptic number.

72794198416 is the 269804-th square number.

It is an amenable number.

72794198416 is a deficient number, since it is larger than the sum of its proper divisors (72238999985).

72794198416 is an frugal number, since it uses more digits than its factorization.

72794198416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 1862 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 58.

The spelling of 72794198416 in words is "seventy-two billion, seven hundred ninety-four million, one hundred ninety-eight thousand, four hundred sixteen".