72321734016 has 192 divisors, whose sum is σ = 251835086880. Its totient is φ = 19447824384.

The previous prime is 72321733987. The next prime is 72321734029. The reversal of 72321734016 is 61043712327.

72321734016 is a `hidden beast` number, since 7 + 232 + 17 + 3 + 401 + 6 = 666.

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

It is a super-2 number, since 2×72321734016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 126691 + ... + 400866.

Almost surely, 2^72321734016 is an apocalyptic number.

It is an amenable number.

72321734016 is an abundant number, since it is smaller than the sum of its proper divisors (179513352864).

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

72321734016 is a wasteful number, since it uses less digits than its factorization.

72321734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527601 (or 527586 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 72321734016 in words is "seventy-two billion, three hundred twenty-one million, seven hundred thirty-four thousand, sixteen".