73285417974720 has 448 divisors, whose sum is σ = 286434261467136. Its totient is φ = 15505789685760.

The previous prime is 73285417974707. The next prime is 73285417974761. The reversal of 73285417974720 is 2747971458237.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2856304 + ... + 12439023.

Almost surely, 2^{73285417974720} is an apocalyptic number.

73285417974720 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 73285417974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143217130733568).

73285417974720 is an abundant number, since it is smaller than the sum of its proper divisors (213148843492416).

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

73285417974720 is a wasteful number, since it uses less digits than its factorization.

73285417974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15295408 (or 15295398 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 66.

The spelling of 73285417974720 in words is "seventy-three trillion, two hundred eighty-five billion, four hundred seventeen million, nine hundred seventy-four thousand, seven hundred twenty".