73315452672 has 648 divisors, whose sum is σ = 277370595600. Its totient is φ = 19032330240.

The previous prime is 73315452599. The next prime is 73315452701. The reversal of 73315452672 is 27625451337.

73315452672 is a `hidden beast` number, since 7 + 3 + 3 + 1 + 54 + 526 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40980354 + ... + 40982142.

Almost surely, 2^73315452672 is an apocalyptic number.

73315452672 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 73315452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138685297800).

73315452672 is an abundant number, since it is smaller than the sum of its proper divisors (204055142928).

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

73315452672 is a wasteful number, since it uses less digits than its factorization.

73315452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1812 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 73315452672 in words is "seventy-three billion, three hundred fifteen million, four hundred fifty-two thousand, six hundred seventy-two".