73134949891200 has 192 divisors, whose sum is σ = 240941339184000. Its totient is φ = 19498354421760.

The previous prime is 73134949891183. The next prime is 73134949891207. The reversal of 73134949891200 is 219894943137.

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

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (73134949891207) 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, 42833049 + ... + 44507751.

It is an arithmetic number, because the mean of its divisors is an integer number (1254902808250).

Almost surely, 2^{73134949891200} 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 73134949891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120470669592000).

73134949891200 is an abundant number, since it is smaller than the sum of its proper divisors (167806389292800).

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

73134949891200 is a wasteful number, since it uses less digits than its factorization.

73134949891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679279 (or 1679262 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 73134949891200 in words is "seventy-three trillion, one hundred thirty-four billion, nine hundred forty-nine million, eight hundred ninety-one thousand, two hundred".