172212480 has 360 divisors, whose sum is σ = 676678464. Its totient is φ = 41472000.

The previous prime is 172212473. The next prime is 172212497. The reversal of 172212480 is 84212271.

172212480 is a `hidden beast` number, since 172 + 2 + 12 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140405 + ... + 1140555.

Almost surely, 2^172212480 is an apocalyptic number.

172212480 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 172212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338339232).

172212480 is an abundant number, since it is smaller than the sum of its proper divisors (504465984).

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

172212480 is a wasteful number, since it uses less digits than its factorization.

172212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 172212480 is about 13122.9752723992. The cubic root of 172212480 is about 556.3586871742.

It can be divided in two parts, 17221 and 2480, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 172212480 in words is "one hundred seventy-two million, two hundred twelve thousand, four hundred eighty".