73726746912 has 480 divisors, whose sum is σ = 272354544000. Its totient is φ = 19441368576.

The previous prime is 73726746911. The next prime is 73726746913. The reversal of 73726746912 is 21964762737.

It is an interprime number because it is at equal distance from previous prime (73726746911) and next prime (73726746913).

It is a super-2 number, since 2×73726746912² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (73726746911) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11554539 + ... + 11560917.

It is an arithmetic number, because the mean of its divisors is an integer number (567405300).

Almost surely, 2^73726746912 is an apocalyptic number.

73726746912 is a gapful number since it is divisible by the number (72) 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 73726746912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136177272000).

73726746912 is an abundant number, since it is smaller than the sum of its proper divisors (198627797088).

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

73726746912 is a wasteful number, since it uses less digits than its factorization.

73726746912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6435 (or 6404 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 73726746912 in words is "seventy-three billion, seven hundred twenty-six million, seven hundred forty-six thousand, nine hundred twelve".