172626480 has 120 divisors (see below), whose sum is σ = 624366288. Its totient is φ = 42490368.

The previous prime is 172626379. The next prime is 172626481. The reversal of 172626480 is 84626271.

172626480 is a `hidden beast` number, since 1 + 7 + 2 + 6 + 2 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (172626481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139 + ... + 18581.

Almost surely, 2^172626480 is an apocalyptic number.

172626480 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 172626480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312183144).

172626480 is an abundant number, since it is smaller than the sum of its proper divisors (451739808).

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

172626480 is a wasteful number, since it uses less digits than its factorization.

172626480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18475 (or 18466 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 172626480 is about 13138.7396655844. The cubic root of 172626480 is about 556.8041604426.

The spelling of 172626480 in words is "one hundred seventy-two million, six hundred twenty-six thousand, four hundred eighty".