73667408 has 40 divisors (see below), whose sum is σ = 155109120. Its totient is φ = 33765120.

The previous prime is 73667401. The next prime is 73667417. The reversal of 73667408 is 80476637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73667401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5516 + ... + 13332.

It is an arithmetic number, because the mean of its divisors is an integer number (3877728).

Almost surely, 2^73667408 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 73667408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77554560).

73667408 is an abundant number, since it is smaller than the sum of its proper divisors (81441712).

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

73667408 is a wasteful number, since it uses less digits than its factorization.

73667408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 73667408 is about 8582.9719794486. The cubic root of 73667408 is about 419.2037218266.

The spelling of 73667408 in words is "seventy-three million, six hundred sixty-seven thousand, four hundred eight".