73145912112 has 1080 divisors, whose sum is σ = 285839324160. Its totient is φ = 17686356480.

The previous prime is 73145912111. The next prime is 73145912113. The reversal of 73145912112 is 21121954137.

It is a happy number.

73145912112 is a `hidden beast` number, since 7 + 31 + 4 + 591 + 21 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (73145912111) and next prime (73145912113).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73145912111) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2359545537 + ... + 2359545567.

Almost surely, 2^73145912112 is an apocalyptic number.

73145912112 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 73145912112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142919662080).

73145912112 is an abundant number, since it is smaller than the sum of its proper divisors (212693412048).

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

73145912112 is a wasteful number, since it uses less digits than its factorization.

73145912112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 75 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The spelling of 73145912112 in words is "seventy-three billion, one hundred forty-five million, nine hundred twelve thousand, one hundred twelve".