73126768 has 80 divisors (see below), whose sum is σ = 171988992. Its totient is φ = 29664000.

The previous prime is 73126759. The next prime is 73126769. The reversal of 73126768 is 86762137.

It is a self number, because there is not a number n which added to its sum of digits gives 73126768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73126769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70413 + ... + 71443.

Almost surely, 2^73126768 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 73126768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85994496).

73126768 is an abundant number, since it is smaller than the sum of its proper divisors (98862224).

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

73126768 is a wasteful number, since it uses less digits than its factorization.

73126768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1088 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 73126768 is about 8551.4190635239. The cubic root of 73126768 is about 418.1757005005.

The spelling of 73126768 in words is "seventy-three million, one hundred twenty-six thousand, seven hundred sixty-eight".