172493721600 has 624 divisors, whose sum is σ = 600634890240. Its totient is φ = 43617484800.

The previous prime is 172493721599. The next prime is 172493721611. The reversal of 172493721600 is 6127394271.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561868647 + ... + 561868953.

Almost surely, 2^172493721600 is an apocalyptic number.

172493721600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172493721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300317445120).

172493721600 is an abundant number, since it is smaller than the sum of its proper divisors (428141168640).

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

172493721600 is a wasteful number, since it uses less digits than its factorization.

172493721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 172493721600 in words is "one hundred seventy-two billion, four hundred ninety-three million, seven hundred twenty-one thousand, six hundred".