73331187535872 has 2496 divisors, whose sum is σ = 282900354347520. Its totient is φ = 18492652781568.

The previous prime is 73331187535871. The next prime is 73331187535943. The reversal of 73331187535872 is 27853578113337.

It is a happy number.

73331187535872 is a `hidden beast` number, since 7 + 3 + 3 + 3 + 1 + 18 + 7 + 535 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (88905600) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73331187535871) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127090446048 + ... + 127090446624.

It is an arithmetic number, because the mean of its divisors is an integer number (113341488120).

Almost surely, 2^{73331187535872} is an apocalyptic number.

73331187535872 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 73331187535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141450177173760).

73331187535872 is an abundant number, since it is smaller than the sum of its proper divisors (209569166811648).

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

73331187535872 is a wasteful number, since it uses less digits than its factorization.

73331187535872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 672 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 63.

The spelling of 73331187535872 in words is "seventy-three trillion, three hundred thirty-one billion, one hundred eighty-seven million, five hundred thirty-five thousand, eight hundred seventy-two".