73152810 has 48 divisors (see below), whose sum is σ = 191907144. Its totient is φ = 19332096.

The previous prime is 73152803. The next prime is 73152817. The reversal of 73152810 is 1825137.

It is an interprime number because it is at equal distance from previous prime (73152803) and next prime (73152817).

It can be written as a sum of positive squares in 4 ways, for example, as 17665209 + 55487601 = 4203^2 + 7449^2 .

It is a super-2 number, since 2×73152810² = 10702667221792200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73152817) 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, 6574 + ... + 13766.

Almost surely, 2^73152810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73152810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95953572).

73152810 is an abundant number, since it is smaller than the sum of its proper divisors (118754334).

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

73152810 is a wasteful number, since it uses less digits than its factorization.

73152810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7319 (or 7316 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 73152810 is about 8552.9415992394. The cubic root of 73152810 is about 418.2253350343.

Adding to 73152810 its reverse (1825137), we get a palindrome (74977947).

The spelling of 73152810 in words is "seventy-three million, one hundred fifty-two thousand, eight hundred ten".