73531296 has 72 divisors (see below), whose sum is σ = 210319200. Its totient is φ = 24368256.

The previous prime is 73531267. The next prime is 73531303. The reversal of 73531296 is 69213537.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 73531296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56671 + ... + 57953.

It is an arithmetic number, because the mean of its divisors is an integer number (2921100).

Almost surely, 2^73531296 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 73531296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105159600).

73531296 is an abundant number, since it is smaller than the sum of its proper divisors (136787904).

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

73531296 is a wasteful number, since it uses less digits than its factorization.

73531296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1487 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 73531296 is about 8575.0391252752. The cubic root of 73531296 is about 418.9453812830.

It can be divided in two parts, 7353 and 1296, that added together give a square (8649 = 93²).

The spelling of 73531296 in words is "seventy-three million, five hundred thirty-one thousand, two hundred ninety-six".