73152512 has 48 divisors (see below), whose sum is σ = 152727120. Its totient is φ = 34963456.

The previous prime is 73152509. The next prime is 73152517. The reversal of 73152512 is 21525137.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73152517) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46328 + ... + 47880.

It is an arithmetic number, because the mean of its divisors is an integer number (3181815).

Almost surely, 2^73152512 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 73152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76363560).

73152512 is an abundant number, since it is smaller than the sum of its proper divisors (79574608).

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

73152512 is a wasteful number, since it uses less digits than its factorization.

73152512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1578 counting only the distinct ones).

The product of its digits is 2100, while the sum is 26.

The square root of 73152512 is about 8552.9241783147. The cubic root of 73152512 is about 418.2247671303.

Adding to 73152512 its reverse (21525137), we get a palindrome (94677649).

The spelling of 73152512 in words is "seventy-three million, one hundred fifty-two thousand, five hundred twelve".