73085652 has 72 divisors (see below), whose sum is σ = 202902336. Its totient is φ = 22923648.

The previous prime is 73085633. The next prime is 73085653. The reversal of 73085652 is 25658037.

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 (73085653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14313 + ... + 18735.

It is an arithmetic number, because the mean of its divisors is an integer number (2818088).

Almost surely, 2^73085652 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 73085652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101451168).

73085652 is an abundant number, since it is smaller than the sum of its proper divisors (129816684).

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

73085652 is a wasteful number, since it uses less digits than its factorization.

73085652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 73085652 is about 8549.0146800669. The cubic root of 73085652 is about 418.0973118065.

It can be divided in two parts, 73085 and 652, that added together give a palindrome (73737).

The spelling of 73085652 in words is "seventy-three million, eighty-five thousand, six hundred fifty-two".