172225440 has 240 divisors, whose sum is σ = 618560712. Its totient is φ = 45121536.

The previous prime is 172225439. The next prime is 172225441. The reversal of 172225440 is 44522271.

It is an interprime number because it is at equal distance from previous prime (172225439) and next prime (172225441).

It can be written as a sum of positive squares in 4 ways, for example, as 140280336 + 31945104 = 11844^2 + 5652^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (172225441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1257052 + ... + 1257188.

Almost surely, 2^172225440 is an apocalyptic number.

172225440 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 172225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309280356).

172225440 is an abundant number, since it is smaller than the sum of its proper divisors (446335272).

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

172225440 is a wasteful number, since it uses less digits than its factorization.

172225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 172225440 is about 13123.4690535696. The cubic root of 172225440 is about 556.3726432431.

The spelling of 172225440 in words is "one hundred seventy-two million, two hundred twenty-five thousand, four hundred forty".