73505700 has 216 divisors, whose sum is σ = 248609088. Its totient is φ = 18120960.

The previous prime is 73505689. The next prime is 73505701. The reversal of 73505700 is 750537.

It is not an unprimeable number, because it can be changed into a prime (73505701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1097067 + ... + 1097133.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 2^73505700 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 73505700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304544).

73505700 is an abundant number, since it is smaller than the sum of its proper divisors (175103388).

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

73505700 is a wasteful number, since it uses less digits than its factorization.

73505700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 73505700 is about 8573.5465240471. The cubic root of 73505700 is about 418.8967644760.

The spelling of 73505700 in words is "seventy-three million, five hundred five thousand, seven hundred".