73537672 has 32 divisors (see below), whose sum is σ = 149587200. Its totient is φ = 33689664.

The previous prime is 73537643. The next prime is 73537679. The reversal of 73537672 is 27673537.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (73537679) 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, 11913 + ... + 16999.

It is an arithmetic number, because the mean of its divisors is an integer number (4674600).

Almost surely, 2^73537672 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 73537672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74793600).

73537672 is an abundant number, since it is smaller than the sum of its proper divisors (76049528).

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

73537672 is a wasteful number, since it uses less digits than its factorization.

73537672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5241 counting only the distinct ones).

The product of its digits is 185220, while the sum is 40.

The square root of 73537672 is about 8575.4108939455. The cubic root of 73537672 is about 418.9574900435.

The spelling of 73537672 in words is "seventy-three million, five hundred thirty-seven thousand, six hundred seventy-two".