73966164 has 48 divisors (see below), whose sum is σ = 185129280. Its totient is φ = 22913280.

The previous prime is 73966159. The next prime is 73966169. The reversal of 73966164 is 46166937.

It is an interprime number because it is at equal distance from previous prime (73966159) and next prime (73966169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73966169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9024 + ... + 15144.

It is an arithmetic number, because the mean of its divisors is an integer number (3856860).

Almost surely, 2^73966164 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 73966164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92564640).

73966164 is an abundant number, since it is smaller than the sum of its proper divisors (111163116).

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

73966164 is a wasteful number, since it uses less digits than its factorization.

73966164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200 (or 6198 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 73966164 is about 8600.3583646264. The cubic root of 73966164 is about 419.7696469264.

The spelling of 73966164 in words is "seventy-three million, nine hundred sixty-six thousand, one hundred sixty-four".