73667232 has 120 divisors (see below), whose sum is σ = 219633876. Its totient is φ = 24219648.

The previous prime is 73667219. The next prime is 73667249. The reversal of 73667232 is 23276637.

It can be written as a sum of positive squares in 2 ways, for example, as 69155856 + 4511376 = 8316^2 + 2124^2 .

It is a super-2 number, since 2×73667232² = 10853722141083648, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 251278 + ... + 251570.

Almost surely, 2^73667232 is an apocalyptic number.

73667232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73667232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109816938).

73667232 is an abundant number, since it is smaller than the sum of its proper divisors (145966644).

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

73667232 is a wasteful number, since it uses less digits than its factorization.

73667232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

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

The square root of 73667232 is about 8582.9617265837. The cubic root of 73667232 is about 419.2033879842.

The spelling of 73667232 in words is "seventy-three million, six hundred sixty-seven thousand, two hundred thirty-two".