73530900 has 54 divisors (see below), whose sum is σ = 230481342. Its totient is φ = 19608000.

The previous prime is 73530887. The next prime is 73530901. The reversal of 73530900 is 903537.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 73513476 = 132^2 + 8574^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73530901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39951 + ... + 41750.

It is an arithmetic number, because the mean of its divisors is an integer number (4268173).

Almost surely, 2^73530900 is an apocalyptic number.

It is an amenable number.

73530900 is an abundant number, since it is smaller than the sum of its proper divisors (156950442).

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

73530900 is a wasteful number, since it uses less digits than its factorization.

73530900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81721 (or 81711 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 73530900 is about 8575.0160349704. The cubic root of 73530900 is about 418.9446292102.

The spelling of 73530900 in words is "seventy-three million, five hundred thirty thousand, nine hundred".