73001336832 has 280 divisors, whose sum is σ = 220049755200. Its totient is φ = 24206376960.

The previous prime is 73001336783. The next prime is 73001336861. The reversal of 73001336832 is 23863310037.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 382205857 + ... + 382206047.

Almost surely, 2^73001336832 is an apocalyptic number.

73001336832 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 73001336832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110024877600).

73001336832 is an abundant number, since it is smaller than the sum of its proper divisors (147048418368).

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

73001336832 is an frugal number, since it uses more digits than its factorization.

73001336832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 73001336832 its reverse (23863310037), we get a palindrome (96864646869).

The spelling of 73001336832 in words is "seventy-three billion, one million, three hundred thirty-six thousand, eight hundred thirty-two".