73685268 has 96 divisors (see below), whose sum is σ = 203280000. Its totient is φ = 23016960.

The previous prime is 73685267. The next prime is 73685299. The reversal of 73685268 is 86258637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73685263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305628 + ... + 305868.

It is an arithmetic number, because the mean of its divisors is an integer number (2117500).

Almost surely, 2^73685268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73685268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101640000).

73685268 is an abundant number, since it is smaller than the sum of its proper divisors (129594732).

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

73685268 is a wasteful number, since it uses less digits than its factorization.

73685268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 73685268 is about 8584.0123485466. The cubic root of 73685268 is about 419.2375964789.

The spelling of 73685268 in words is "seventy-three million, six hundred eighty-five thousand, two hundred sixty-eight".