73968500 has 24 divisors (see below), whose sum is σ = 161548296. Its totient is φ = 29587200.

The previous prime is 73968497. The next prime is 73968533. The reversal of 73968500 is 586937.

It can be written as a sum of positive squares in 4 ways, for example, as 77284 + 73891216 = 278^2 + 8596^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 73469 + ... + 74468.

It is an arithmetic number, because the mean of its divisors is an integer number (6731179).

Almost surely, 2^73968500 is an apocalyptic number.

It is an amenable number.

73968500 is an abundant number, since it is smaller than the sum of its proper divisors (87579796).

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

73968500 is a wasteful number, since it uses less digits than its factorization.

73968500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147956 (or 147944 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 73968500 is about 8600.4941718485. The cubic root of 73968500 is about 419.7740659360.

The spelling of 73968500 in words is "seventy-three million, nine hundred sixty-eight thousand, five hundred".