72733300360 has 256 divisors, whose sum is σ = 204482880000. Its totient is φ = 22718029824.

The previous prime is 72733300307. The next prime is 72733300369. The reversal of 72733300360 is 6300333727.

It is a super-2 number, since 2×72733300360² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72733300369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45203236 + ... + 45204844.

It is an arithmetic number, because the mean of its divisors is an integer number (798761250).

Almost surely, 2^72733300360 is an apocalyptic number.

72733300360 is a gapful number since it is divisible by the number (70) 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 72733300360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102241440000).

72733300360 is an abundant number, since it is smaller than the sum of its proper divisors (131749579640).

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

72733300360 is a wasteful number, since it uses less digits than its factorization.

72733300360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 34.

The spelling of 72733300360 in words is "seventy-two billion, seven hundred thirty-three million, three hundred thousand, three hundred sixty".