73132020 has 72 divisors (see below), whose sum is σ = 238905576. Its totient is φ = 18001152.

The previous prime is 73132001. The next prime is 73132021. The reversal of 73132020 is 2023137.

It can be written as a sum of positive squares in 4 ways, for example, as 2471184 + 70660836 = 1572^2 + 8406^2 .

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 = 73131984 and 73132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73132021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13287 + ... + 17966.

It is an arithmetic number, because the mean of its divisors is an integer number (3318133).

Almost surely, 2^73132020 is an apocalyptic number.

It is an amenable number.

73132020 is an abundant number, since it is smaller than the sum of its proper divisors (165773556).

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

73132020 is a wasteful number, since it uses less digits than its factorization.

73132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31281 (or 31276 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 73132020 is about 8551.7261415459. The cubic root of 73132020 is about 418.1857114548.

Adding to 73132020 its reverse (2023137), we get a palindrome (75155157).

The spelling of 73132020 in words is "seventy-three million, one hundred thirty-two thousand, twenty".