73513332 has 72 divisors (see below), whose sum is σ = 196481376. Its totient is φ = 24025248.

The previous prime is 73513301. The next prime is 73513333. The reversal of 73513332 is 23331537.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 73513296 and 73513305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73513333) 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, 50803 + ... + 52229.

It is an arithmetic number, because the mean of its divisors is an integer number (2728908).

Almost surely, 2^73513332 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 73513332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98240688).

73513332 is an abundant number, since it is smaller than the sum of its proper divisors (122968044).

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

73513332 is a wasteful number, since it uses less digits than its factorization.

73513332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1485 counting only the distinct ones).

The product of its digits is 5670, while the sum is 27.

The square root of 73513332 is about 8573.9916025151. The cubic root of 73513332 is about 418.9112618074.

Adding to 73513332 its reverse (23331537), we get a palindrome (96844869).

The spelling of 73513332 in words is "seventy-three million, five hundred thirteen thousand, three hundred thirty-two".