73542472600 has 96 divisors (see below), whose sum is σ = 181664622720. Its totient is φ = 27591710720.

The previous prime is 73542472589. The next prime is 73542472609. The reversal of 73542472600 is 627424537.

It is a happy number.

It is a super-2 number, since 2×73542472600² (a number of 23 digits) contains 22 as substring.

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 (73542472609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 959289 + ... + 1033111.

It is an arithmetic number, because the mean of its divisors is an integer number (1892339820).

Almost surely, 2^73542472600 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 73542472600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90832311360).

73542472600 is an abundant number, since it is smaller than the sum of its proper divisors (108122150120).

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

73542472600 is a wasteful number, since it uses less digits than its factorization.

73542472600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74149 (or 74140 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 73542472600 in words is "seventy-three billion, five hundred forty-two million, four hundred seventy-two thousand, six hundred".