73146906 has 72 divisors (see below), whose sum is σ = 185664960. Its totient is φ = 20751696.

The previous prime is 73146901. The next prime is 73146907. The reversal of 73146906 is 60964137.

It is not an unprimeable number, because it can be changed into a prime (73146901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 210625 + ... + 210971.

It is an arithmetic number, because the mean of its divisors is an integer number (2578680).

Almost surely, 2^73146906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73146906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92832480).

73146906 is an abundant number, since it is smaller than the sum of its proper divisors (112518054).

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

73146906 is a wasteful number, since it uses less digits than its factorization.

73146906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 73146906 is about 8552.5964478631. The cubic root of 73146906 is about 418.2140833872.

The spelling of 73146906 in words is "seventy-three million, one hundred forty-six thousand, nine hundred six".