73634880 has 224 divisors, whose sum is σ = 269199360. Its totient is φ = 16865280.

The previous prime is 73634867. The next prime is 73634909. The reversal of 73634880 is 8843637.

It is a super-2 number, since 2×73634880² = 10844191105228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200457 + ... + 200823.

Almost surely, 2^73634880 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 73634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134599680).

73634880 is an abundant number, since it is smaller than the sum of its proper divisors (195564480).

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

73634880 is a wasteful number, since it uses less digits than its factorization.

73634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 73634880 is about 8581.0768555001. The cubic root of 73634880 is about 419.1420126461.

The spelling of 73634880 in words is "seventy-three million, six hundred thirty-four thousand, eight hundred eighty".