72758347792 has 100 divisors (see below), whose sum is σ = 154177146540. Its totient is φ = 33259978752.

The previous prime is 72758347769. The next prime is 72758347801. The reversal of 72758347792 is 29774385727.

It can be written as a sum of positive squares in 10 ways, for example, as 45541267216 + 27217080576 = 213404^2 + 164976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72758347792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51637584 + ... + 51638992.

Almost surely, 2^72758347792 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 72758347792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77088573270).

72758347792 is an abundant number, since it is smaller than the sum of its proper divisors (81418798748).

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

72758347792 is a wasteful number, since it uses less digits than its factorization.

72758347792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1537 counting only the distinct ones).

The product of its digits is 41489280, while the sum is 61.

The spelling of 72758347792 in words is "seventy-two billion, seven hundred fifty-eight million, three hundred forty-seven thousand, seven hundred ninety-two".