73257216 has 144 divisors (see below), whose sum is σ = 214276608. Its totient is φ = 22118400.

The previous prime is 73257209. The next prime is 73257221. The reversal of 73257216 is 61275237.

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, 404646 + ... + 404826.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 2^73257216 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 73257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107138304).

73257216 is an abundant number, since it is smaller than the sum of its proper divisors (141019392).

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

73257216 is a wasteful number, since it uses less digits than its factorization.

73257216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 73257216 is about 8559.0429371513. The cubic root of 73257216 is about 418.4242085855.

It can be divided in two parts, 7325 and 7216, that added together give a palindrome (14541).

The spelling of 73257216 in words is "seventy-three million, two hundred fifty-seven thousand, two hundred sixteen".