73152632 has 64 divisors (see below), whose sum is σ = 169931520. Its totient is φ = 28804608.

The previous prime is 73152613. The next prime is 73152671. The reversal of 73152632 is 23625137.

It is a junction number, because it is equal to n+sod(n) for n = 73152595 and 73152604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40043 + ... + 41829.

It is an arithmetic number, because the mean of its divisors is an integer number (2655180).

Almost surely, 2^73152632 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 73152632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84965760).

73152632 is an abundant number, since it is smaller than the sum of its proper divisors (96778888).

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

73152632 is a wasteful number, since it uses less digits than its factorization.

73152632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1856 counting only the distinct ones).

The product of its digits is 7560, while the sum is 29.

The square root of 73152632 is about 8552.9311934564. The cubic root of 73152632 is about 418.2249958167.

Adding to 73152632 its reverse (23625137), we get a palindrome (96777769).

The spelling of 73152632 in words is "seventy-three million, one hundred fifty-two thousand, six hundred thirty-two".