73052896 has 48 divisors (see below), whose sum is σ = 166047840. Its totient is φ = 30988800.

The previous prime is 73052887. The next prime is 73052897. The reversal of 73052896 is 69825037.

It is a super-2 number, since 2×73052896² = 10673451227973632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73052897) 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, 21010 + ... + 24238.

It is an arithmetic number, because the mean of its divisors is an integer number (3459330).

Almost surely, 2^73052896 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 73052896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83023920).

73052896 is an abundant number, since it is smaller than the sum of its proper divisors (92994944).

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

73052896 is a wasteful number, since it uses less digits than its factorization.

73052896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 73052896 is about 8547.0986890289. The cubic root of 73052896 is about 418.0348406206.

It can be divided in two parts, 7305 and 2896, that added together give a palindrome (10201).

The spelling of 73052896 in words is "seventy-three million, fifty-two thousand, eight hundred ninety-six".