73067904 has 384 divisors, whose sum is σ = 280687680. Its totient is φ = 17694720.

The previous prime is 73067903. The next prime is 73067909. The reversal of 73067904 is 40976037.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73067903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1782124 + ... + 1782164.

Almost surely, 2^73067904 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 73067904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140343840).

73067904 is an abundant number, since it is smaller than the sum of its proper divisors (207619776).

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

73067904 is a wasteful number, since it uses less digits than its factorization.

73067904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 73067904 is about 8547.9766026821. The cubic root of 73067904 is about 418.0634657112.

The spelling of 73067904 in words is "seventy-three million, sixty-seven thousand, nine hundred four".