172932480 has 192 divisors, whose sum is σ = 682624800. Its totient is φ = 39518208.

The previous prime is 172932407. The next prime is 172932493. The reversal of 172932480 is 84239271.

172932480 is a `hidden beast` number, since 172 + 9 + 3 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38176 + ... + 42464.

Almost surely, 2^172932480 is an apocalyptic number.

172932480 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 172932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341312400).

172932480 is an abundant number, since it is smaller than the sum of its proper divisors (509692320).

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

172932480 is a wasteful number, since it uses less digits than its factorization.

172932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 172932480 is about 13150.3794622056. The cubic root of 172932480 is about 557.1329657303.

The spelling of 172932480 in words is "one hundred seventy-two million, nine hundred thirty-two thousand, four hundred eighty".