172217664 has 140 divisors (see below), whose sum is σ = 516331200. Its totient is φ = 56754432.

The previous prime is 172217663. The next prime is 172217713. The reversal of 172217664 is 466712271.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172217663) 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 19 ways as a sum of consecutive naturals, for example, 720457 + ... + 720695.

It is an arithmetic number, because the mean of its divisors is an integer number (3688080).

Almost surely, 2^172217664 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 172217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258165600).

172217664 is an abundant number, since it is smaller than the sum of its proper divisors (344113536).

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

172217664 is a wasteful number, since it uses less digits than its factorization.

172217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 172217664 is about 13123.1727870969. The cubic root of 172217664 is about 556.3642696858.

The spelling of 172217664 in words is "one hundred seventy-two million, two hundred seventeen thousand, six hundred sixty-four".