172738720 has 144 divisors (see below), whose sum is σ = 518138208. Its totient is φ = 53813760.

The previous prime is 172738711. The next prime is 172738729. The reversal of 172738720 is 27837271.

It is an interprime number because it is at equal distance from previous prime (172738711) and next prime (172738729).

It is a self number, because there is not a number n which added to its sum of digits gives 172738720.

It is not an unprimeable number, because it can be changed into a prime (172738729) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 85239 + ... + 87241.

It is an arithmetic number, because the mean of its divisors is an integer number (3598182).

Almost surely, 2^172738720 is an apocalyptic number.

172738720 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 172738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259069104).

172738720 is an abundant number, since it is smaller than the sum of its proper divisors (345399488).

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

172738720 is a wasteful number, since it uses less digits than its factorization.

172738720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 172738720 is about 13143.0103096665. The cubic root of 172738720 is about 556.9248104517.

The spelling of 172738720 in words is "one hundred seventy-two million, seven hundred thirty-eight thousand, seven hundred twenty".