73101521376 has 144 divisors (see below), whose sum is σ = 229334217840. Its totient is φ = 21944125440.

The previous prime is 73101521359. The next prime is 73101521377. The reversal of 73101521376 is 67312510137.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 73101521376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73101521377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84606 + ... + 391613.

It is an arithmetic number, because the mean of its divisors is an integer number (1592598735).

Almost surely, 2^73101521376 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 73101521376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114667108920).

73101521376 is an abundant number, since it is smaller than the sum of its proper divisors (156232696464).

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

73101521376 is a wasteful number, since it uses less digits than its factorization.

73101521376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476289 (or 476278 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 73101521376 in words is "seventy-three billion, one hundred one million, five hundred twenty-one thousand, three hundred seventy-six".