73267632 has 80 divisors (see below), whose sum is σ = 217128960. Its totient is φ = 23630400.

The previous prime is 73267631. The next prime is 73267633. The reversal of 73267632 is 23676237.

It is an interprime number because it is at equal distance from previous prime (73267631) and next prime (73267633).

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

It is not an unprimeable number, because it can be changed into a prime (73267631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10657 + ... + 16127.

It is an arithmetic number, because the mean of its divisors is an integer number (2714112).

Almost surely, 2^73267632 is an apocalyptic number.

73267632 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 73267632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108564480).

73267632 is an abundant number, since it is smaller than the sum of its proper divisors (143861328).

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

73267632 is a wasteful number, since it uses less digits than its factorization.

73267632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519 (or 5507 counting only the distinct ones).

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

The square root of 73267632 is about 8559.6513947707. The cubic root of 73267632 is about 418.4440387140. Note that the first 3 decimals are identical.

The spelling of 73267632 in words is "seventy-three million, two hundred sixty-seven thousand, six hundred thirty-two".