73417968 has 160 divisors (see below), whose sum is σ = 240609600. Its totient is φ = 21233664.

The previous prime is 73417933. The next prime is 73418029. The reversal of 73417968 is 86971437.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95088 + ... + 95856.

It is an arithmetic number, because the mean of its divisors is an integer number (1503810).

Almost surely, 2^73417968 is an apocalyptic number.

73417968 is a gapful number since it is divisible by the number (78) 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 73417968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120304800).

73417968 is an abundant number, since it is smaller than the sum of its proper divisors (167191632).

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

73417968 is a wasteful number, since it uses less digits than its factorization.

73417968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 804 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 73417968 is about 8568.4285607105. The cubic root of 73417968 is about 418.7300414338.

The spelling of 73417968 in words is "seventy-three million, four hundred seventeen thousand, nine hundred sixty-eight".