73573531600 has 360 divisors, whose sum is σ = 198471093912. Its totient is φ = 26114457600.

The previous prime is 73573531567. The next prime is 73573531601. The reversal of 73573531600 is 613537537.

It can be written as a sum of positive squares in 12 ways, for example, as 55556375616 + 18017155984 = 235704^2 + 134228^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73573531601) 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, 406483510 + ... + 406483690.

Almost surely, 2^73573531600 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 73573531600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99235546956).

73573531600 is an abundant number, since it is smaller than the sum of its proper divisors (124897562312).

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

73573531600 is a wasteful number, since it uses less digits than its factorization.

73573531600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 40.

The spelling of 73573531600 in words is "seventy-three billion, five hundred seventy-three million, five hundred thirty-one thousand, six hundred".