172193840 has 240 divisors, whose sum is σ = 522466560. Its totient is φ = 52254720.

The previous prime is 172193837. The next prime is 172193863. The reversal of 172193840 is 48391271.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 172193840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1579706 + ... + 1579814.

It is an arithmetic number, because the mean of its divisors is an integer number (2176944).

Almost surely, 2^172193840 is an apocalyptic number.

172193840 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 172193840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261233280).

172193840 is an abundant number, since it is smaller than the sum of its proper divisors (350272720).

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

172193840 is a wasteful number, since it uses less digits than its factorization.

172193840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 172193840 is about 13122.2650483825. The cubic root of 172193840 is about 556.3386133287.

The spelling of 172193840 in words is "one hundred seventy-two million, one hundred ninety-three thousand, eight hundred forty".