72295706736 has 160 divisors (see below), whose sum is σ = 226544428800. Its totient is φ = 21891928320.

The previous prime is 72295706723. The next prime is 72295706741. The reversal of 72295706736 is 63760759227.

72295706736 is a `hidden beast` number, since 7 + 2 + 2 + 9 + 570 + 67 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7688790 + ... + 7698186.

It is an arithmetic number, because the mean of its divisors is an integer number (1415902680).

Almost surely, 2^72295706736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72295706736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113272214400).

72295706736 is an abundant number, since it is smaller than the sum of its proper divisors (154248722064).

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

72295706736 is a wasteful number, since it uses less digits than its factorization.

72295706736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11044 (or 11032 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 72295706736 in words is "seventy-two billion, two hundred ninety-five million, seven hundred six thousand, seven hundred thirty-six".