73516872 has 128 divisors (see below), whose sum is σ = 223211520. Its totient is φ = 19872000.

The previous prime is 73516853. The next prime is 73516873. The reversal of 73516872 is 27861537.

It is a super-4 number, since 4×73516872⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 73516872.

It is not an unprimeable number, because it can be changed into a prime (73516873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106047 + ... + 106737.

It is an arithmetic number, because the mean of its divisors is an integer number (1743840).

Almost surely, 2^73516872 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 73516872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111605760).

73516872 is an abundant number, since it is smaller than the sum of its proper divisors (149694648).

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

73516872 is a wasteful number, since it uses less digits than its factorization.

73516872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 751 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 73516872 is about 8574.1980383007. The cubic root of 73516872 is about 418.9179858578.

The spelling of 73516872 in words is "seventy-three million, five hundred sixteen thousand, eight hundred seventy-two".