73376389152 has 288 divisors, whose sum is σ = 230836604544. Its totient is φ = 21924864000.

The previous prime is 73376389109. The next prime is 73376389157. The reversal of 73376389152 is 25198367337.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (73376389157) 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 47 ways as a sum of consecutive naturals, for example, 75103288 + ... + 75104264.

It is an arithmetic number, because the mean of its divisors is an integer number (801515988).

Almost surely, 2^73376389152 is an apocalyptic number.

73376389152 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 73376389152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115418302272).

73376389152 is an abundant number, since it is smaller than the sum of its proper divisors (157460215392).

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

73376389152 is a wasteful number, since it uses less digits than its factorization.

73376389152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1301 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 73376389152 in words is "seventy-three billion, three hundred seventy-six million, three hundred eighty-nine thousand, one hundred fifty-two".