73412136576 has 192 divisors, whose sum is σ = 213093504000. Its totient is φ = 24258324480.

The previous prime is 73412136571. The next prime is 73412136593. The reversal of 73412136576 is 67563121437.

73412136576 is a `hidden beast` number, since 7 + 3 + 41 + 2 + 1 + 36 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (73412136571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122557525 + ... + 122558123.

It is an arithmetic number, because the mean of its divisors is an integer number (1109862000).

Almost surely, 2^73412136576 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 73412136576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106546752000).

73412136576 is an abundant number, since it is smaller than the sum of its proper divisors (139681367424).

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

73412136576 is a wasteful number, since it uses less digits than its factorization.

73412136576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1352 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 73412136576 in words is "seventy-three billion, four hundred twelve million, one hundred thirty-six thousand, five hundred seventy-six".