73967068 has 72 divisors (see below), whose sum is σ = 162025920. Its totient is φ = 29352960.

The previous prime is 73967053. The next prime is 73967071. The reversal of 73967068 is 86076937.

It is a super-2 number, since 2×73967068² = 10942254297033248, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 263088 + ... + 263368.

It is an arithmetic number, because the mean of its divisors is an integer number (2250360).

Almost surely, 2^73967068 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 73967068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81012960).

73967068 is an abundant number, since it is smaller than the sum of its proper divisors (88058852).

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

73967068 is a wasteful number, since it uses less digits than its factorization.

73967068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 73967068 is about 8600.4109204154. The cubic root of 73967068 is about 419.7713570336.

The spelling of 73967068 in words is "seventy-three million, nine hundred sixty-seven thousand, sixty-eight".