73034632 has 64 divisors (see below), whose sum is σ = 158990400. Its totient is φ = 31450320.

The previous prime is 73034617. The next prime is 73034657. The reversal of 73034632 is 23643037.

The cubic root of 73034632 is 418.

It is a perfect power (a cube), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 73034632.

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, 3843919 + ... + 3843937.

It is an arithmetic number, because the mean of its divisors is an integer number (2484225).

Almost surely, 2^73034632 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 73034632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79495200).

73034632 is an abundant number, since it is smaller than the sum of its proper divisors (85955768).

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

73034632 is an equidigital number, since it uses as much as digits as its factorization.

73034632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The square root of 73034632 is about 8546.0301895090.

Adding to 73034632 its reverse (23643037), we get a palindrome (96677669).

It can be divided in two parts, 7303 and 4632, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 73034632 in words is "seventy-three million, thirty-four thousand, six hundred thirty-two".