72683081604 has 189 divisors, whose sum is σ = 215996262391. Its totient is φ = 20608071120.

The previous prime is 72683081599. The next prime is 72683081623. The reversal of 72683081604 is 40618038627.

The square root of 72683081604 is 269598.

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

72683081604 is a `hidden beast` number, since 7 + 2 + 6 + 8 + 30 + 8 + 1 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72683081604.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 554832619 + ... + 554832749.

Almost surely, 2^72683081604 is an apocalyptic number.

72683081604 is the 269598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72683081604

72683081604 is an abundant number, since it is smaller than the sum of its proper divisors (143313180787).

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

72683081604 is an frugal number, since it uses more digits than its factorization.

72683081604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 72683081604 in words is "seventy-two billion, six hundred eighty-three million, eighty-one thousand, six hundred four".