73055008 has 48 divisors (see below), whose sum is σ = 156050496. Its totient is φ = 33465600.

The previous prime is 73054987. The next prime is 73055009. The reversal of 73055008 is 80055037.

It is not an unprimeable number, because it can be changed into a prime (73055009) 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, 62235 + ... + 63397.

It is an arithmetic number, because the mean of its divisors is an integer number (3251052).

Almost surely, 2^73055008 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 73055008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78025248).

73055008 is an abundant number, since it is smaller than the sum of its proper divisors (82995488).

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

73055008 is a wasteful number, since it uses less digits than its factorization.

73055008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 73055008 is about 8547.2222388329. Note that the first 4 decimals coincide. The cubic root of 73055008 is about 418.0388691219.

The spelling of 73055008 in words is "seventy-three million, fifty-five thousand, eight".