72537216 has 128 divisors (see below), whose sum is σ = 206807040. Its totient is φ = 22471680.

The previous prime is 72537209. The next prime is 72537233. The reversal of 72537216 is 61273527.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 379681 + ... + 379871.

It is an arithmetic number, because the mean of its divisors is an integer number (1615680).

Almost surely, 2^72537216 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 72537216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103403520).

72537216 is an abundant number, since it is smaller than the sum of its proper divisors (134269824).

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

72537216 is a wasteful number, since it uses less digits than its factorization.

72537216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

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

The square root of 72537216 is about 8516.8783013496. The cubic root of 72537216 is about 417.0488817784.

The spelling of 72537216 in words is "seventy-two million, five hundred thirty-seven thousand, two hundred sixteen".