73896966 has 96 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 19569600.

The previous prime is 73896961. The next prime is 73896971. The reversal of 73896966 is 66969837.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73896961) and next prime (73896971).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73896961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48151 + ... + 49661.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^73896966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73896966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

73896966 is an abundant number, since it is smaller than the sum of its proper divisors (124235514).

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

73896966 is a wasteful number, since it uses less digits than its factorization.

73896966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1559 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 73896966 is about 8596.3344513810. The cubic root of 73896966 is about 419.6387028955.

The spelling of 73896966 in words is "seventy-three million, eight hundred ninety-six thousand, nine hundred sixty-six".