73528197120 has 600 divisors, whose sum is σ = 301452205824. Its totient is φ = 16795828224.

The previous prime is 73528197103. The next prime is 73528197157. The reversal of 73528197120 is 2179182537.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 46447849 + ... + 46449431.

Almost surely, 2^73528197120 is an apocalyptic number.

73528197120 is a gapful number since it is divisible by the number (70) 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 73528197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150726102912).

73528197120 is an abundant number, since it is smaller than the sum of its proper divisors (227924008704).

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

73528197120 is an equidigital number, since it uses as much as digits as its factorization.

73528197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 73528197120 in words is "seventy-three billion, five hundred twenty-eight million, one hundred ninety-seven thousand, one hundred twenty".