73419997352832 has 1024 divisors, whose sum is σ = 254805684940800. Its totient is φ = 20604616704000.

The previous prime is 73419997352831. The next prime is 73419997352833. The reversal of 73419997352832 is 23825379991437.

73419997352832 is a `hidden beast` number, since 7 + 3 + 4 + 1 + 9 + 9 + 97 + 3 + 528 + 3 + 2 = 666.

73419997352832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (73419997352831) and next prime (73419997352833).

It is a super-2 number, since 2×73419997352832² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73419997352831) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4728529453 + ... + 4728544979.

It is an arithmetic number, because the mean of its divisors is an integer number (248833676700).

Almost surely, 2^{73419997352832} is an apocalyptic number.

73419997352832 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 73419997352832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127402842470400).

73419997352832 is an abundant number, since it is smaller than the sum of its proper divisors (181385687587968).

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

73419997352832 is a wasteful number, since it uses less digits than its factorization.

73419997352832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15772 (or 15754 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 73419997352832 in words is "seventy-three trillion, four hundred nineteen billion, nine hundred ninety-seven million, three hundred fifty-two thousand, eight hundred thirty-two".