73482075072 has 280 divisors, whose sum is σ = 249295029984. Its totient is φ = 20965091328.

The previous prime is 73482075011. The next prime is 73482075097. The reversal of 73482075072 is 27057028437.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44887438 + ... + 44889074.

Almost surely, 2^73482075072 is an apocalyptic number.

73482075072 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 73482075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124647514992).

73482075072 is an abundant number, since it is smaller than the sum of its proper divisors (175812954912).

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

73482075072 is a wasteful number, since it uses less digits than its factorization.

73482075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 73482075072 in words is "seventy-three billion, four hundred eighty-two million, seventy-five thousand, seventy-two".