73072600 has 48 divisors (see below), whose sum is σ = 170636400. Its totient is φ = 29101440.

The previous prime is 73072567. The next prime is 73072603. The reversal of 73072600 is 627037.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73072603) 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 11 ways as a sum of consecutive naturals, for example, 54741 + ... + 56059.

It is an arithmetic number, because the mean of its divisors is an integer number (3554925).

Almost surely, 2^73072600 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 73072600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85318200).

73072600 is an abundant number, since it is smaller than the sum of its proper divisors (97563800).

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

73072600 is a wasteful number, since it uses less digits than its factorization.

73072600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 73072600 is about 8548.2512831573. The cubic root of 73072600 is about 418.0724216908.

Adding to 73072600 its reverse (627037), we get a palindrome (73699637).

The spelling of 73072600 in words is "seventy-three million, seventy-two thousand, six hundred".