73378008 has 128 divisors (see below), whose sum is σ = 225504000. Its totient is φ = 21922560.

The previous prime is 73377979. The next prime is 73378031. The reversal of 73378008 is 80087337.

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

It is a congruent number.

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, 211291 + ... + 211637.

It is an arithmetic number, because the mean of its divisors is an integer number (1761750).

Almost surely, 2^73378008 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 73378008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112752000).

73378008 is an abundant number, since it is smaller than the sum of its proper divisors (152125992).

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

73378008 is a wasteful number, since it uses less digits than its factorization.

73378008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 73378008 is about 8566.0964271948. The cubic root of 73378008 is about 418.6540587212.

The spelling of 73378008 in words is "seventy-three million, three hundred seventy-eight thousand, eight".