73488528 has 60 divisors (see below), whose sum is σ = 209568060. Its totient is φ = 24031488.

The previous prime is 73488491. The next prime is 73488577. The reversal of 73488528 is 82588437.

It can be written as a sum of positive squares in 2 ways, for example, as 65804544 + 7683984 = 8112^2 + 2772^2 .

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, 2818 + ... + 12446.

It is an arithmetic number, because the mean of its divisors is an integer number (3492801).

Almost surely, 2^73488528 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 73488528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104784030).

73488528 is an abundant number, since it is smaller than the sum of its proper divisors (136079532).

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

73488528 is a wasteful number, since it uses less digits than its factorization.

73488528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9696 (or 9687 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 73488528 is about 8572.5450130052. The cubic root of 73488528 is about 418.8641418111.

Subtracting 73488528 from its reverse (82588437), we obtain a palindrome (9099909).

It can be divided in two parts, 7348 and 8528, that added together give a square (15876 = 126²).

The spelling of 73488528 in words is "seventy-three million, four hundred eighty-eight thousand, five hundred twenty-eight".