73645216 has 48 divisors (see below), whose sum is σ = 155282400. Its totient is φ = 34276608.

The previous prime is 73645129. The next prime is 73645219. The reversal of 73645216 is 61254637.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (73645219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34846 + ... + 36898.

It is an arithmetic number, because the mean of its divisors is an integer number (3235050).

Almost surely, 2^73645216 is an apocalyptic number.

73645216 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73645216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77641200).

73645216 is an abundant number, since it is smaller than the sum of its proper divisors (81637184).

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

73645216 is a wasteful number, since it uses less digits than its factorization.

73645216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2133 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 73645216 is about 8581.6790897819. The cubic root of 73645216 is about 419.1616231402.

The spelling of 73645216 in words is "seventy-three million, six hundred forty-five thousand, two hundred sixteen".