73667340 has 48 divisors (see below), whose sum is σ = 229188960. Its totient is φ = 19644480.

The previous prime is 73667327. The next prime is 73667353. The reversal of 73667340 is 4376637.

It is an interprime number because it is at equal distance from previous prime (73667327) and next prime (73667353).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73667295 and 73667304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67671 + ... + 68750.

It is an arithmetic number, because the mean of its divisors is an integer number (4774770).

Almost surely, 2^73667340 is an apocalyptic number.

It is an amenable number.

73667340 is an abundant number, since it is smaller than the sum of its proper divisors (155521620).

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

73667340 is a wasteful number, since it uses less digits than its factorization.

73667340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136439 (or 136431 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 73667340 is about 8582.9680181159. The cubic root of 73667340 is about 419.2035928421.

It can be divided in two parts, 7366 and 7340, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 73667340 in words is "seventy-three million, six hundred sixty-seven thousand, three hundred forty".