73003032 has 144 divisors (see below), whose sum is σ = 221817960. Its totient is φ = 22415616.

The previous prime is 73003027. The next prime is 73003039. The reversal of 73003032 is 23030037.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 73002996 and 73003014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73003039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1553233 + ... + 1553279.

Almost surely, 2^73003032 is an apocalyptic number.

73003032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110908980).

73003032 is an abundant number, since it is smaller than the sum of its proper divisors (148814928).

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

73003032 is a wasteful number, since it uses less digits than its factorization.

73003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 73003032 is about 8544.1811778543. The cubic root of 73003032 is about 417.9397057482.

Adding to 73003032 its reverse (23030037), we get a palindrome (96033069).

The spelling of 73003032 in words is "seventy-three million, three thousand, thirty-two".