172667440 has 160 divisors (see below), whose sum is σ = 482112000. Its totient is φ = 56770560.

The previous prime is 172667431. The next prime is 172667447. The reversal of 172667440 is 44766271.

It is a self number, because there is not a number n which added to its sum of digits gives 172667440.

It is not an unprimeable number, because it can be changed into a prime (172667447) 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 31 ways as a sum of consecutive naturals, for example, 384336 + ... + 384784.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2^172667440 is an apocalyptic number.

172667440 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 172667440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056000).

172667440 is an abundant number, since it is smaller than the sum of its proper divisors (309444560).

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

172667440 is a wasteful number, since it uses less digits than its factorization.

172667440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 172667440 is about 13140.2983223365. The cubic root of 172667440 is about 556.8481955848.

The spelling of 172667440 in words is "one hundred seventy-two million, six hundred sixty-seven thousand, four hundred forty".