73665834 has 32 divisors (see below), whose sum is σ = 162544320. Its totient is φ = 22070400.

The previous prime is 73665821. The next prime is 73665847. The reversal of 73665834 is 43856637.

It is an interprime number because it is at equal distance from previous prime (73665821) and next prime (73665847).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397 + ... + 12144.

It is an arithmetic number, because the mean of its divisors is an integer number (5079510).

Almost surely, 2^73665834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73665834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81272160).

73665834 is an abundant number, since it is smaller than the sum of its proper divisors (88878486).

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

73665834 is a wasteful number, since it uses less digits than its factorization.

73665834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12646.

The product of its digits is 362880, while the sum is 42.

The square root of 73665834 is about 8582.8802857782. The cubic root of 73665834 is about 419.2007361944.

The spelling of 73665834 in words is "seventy-three million, six hundred sixty-five thousand, eight hundred thirty-four".