73845252 has 72 divisors (see below), whose sum is σ = 207993240. Its totient is φ = 21934080.

The previous prime is 73845251. The next prime is 73845257. The reversal of 73845252 is 25254837.

It can be written as a sum of positive squares in 4 ways, for example, as 7650756 + 66194496 = 2766^2 + 8136^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73845251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10852 + ... + 16292.

It is an arithmetic number, because the mean of its divisors is an integer number (2888795).

Almost surely, 2^73845252 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 73845252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103996620).

73845252 is an abundant number, since it is smaller than the sum of its proper divisors (134147988).

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

73845252 is a wasteful number, since it uses less digits than its factorization.

73845252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5488 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 73845252 is about 8593.3260149956. The cubic root of 73845252 is about 419.5407906208.

The spelling of 73845252 in words is "seventy-three million, eight hundred forty-five thousand, two hundred fifty-two".