172392480 has 144 divisors (see below), whose sum is σ = 633611160. Its totient is φ = 42430464.

The previous prime is 172392469. The next prime is 172392487. The reversal of 172392480 is 84293271.

172392480 is a `hidden beast` number, since 172 + 3 + 9 + 2 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74857104 + 97535376 = 8652^2 + 9876^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (172392487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14116 + ... + 23324.

Almost surely, 2^172392480 is an apocalyptic number.

172392480 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 172392480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316805580).

172392480 is an abundant number, since it is smaller than the sum of its proper divisors (461218680).

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

172392480 is a wasteful number, since it uses less digits than its factorization.

172392480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9243 (or 9232 counting only the distinct ones).

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

The square root of 172392480 is about 13129.8316820895. The cubic root of 172392480 is about 556.5524588313.

The spelling of 172392480 in words is "one hundred seventy-two million, three hundred ninety-two thousand, four hundred eighty".