72363233664 has 192 divisors, whose sum is σ = 214501716000. Its totient is φ = 23398834176.

The previous prime is 72363233653. The next prime is 72363233689. The reversal of 72363233664 is 46633236327.

72363233664 is a `hidden beast` number, since 7 + 2 + 3 + 632 + 3 + 3 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15299652 + ... + 15304380.

Almost surely, 2^72363233664 is an apocalyptic number.

72363233664 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72363233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107250858000).

72363233664 is an abundant number, since it is smaller than the sum of its proper divisors (142138482336).

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

72363233664 is a wasteful number, since it uses less digits than its factorization.

72363233664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5130 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 45.

The spelling of 72363233664 in words is "seventy-two billion, three hundred sixty-three million, two hundred thirty-three thousand, six hundred sixty-four".