172478880 has 288 divisors, whose sum is σ = 684972288. Its totient is φ = 38707200.

The previous prime is 172478869. The next prime is 172478899. The reversal of 172478880 is 88874271.

172478880 is a `hidden beast` number, since 172 + 478 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715560 + ... + 715800.

It is an arithmetic number, because the mean of its divisors is an integer number (2378376).

Almost surely, 2^172478880 is an apocalyptic number.

172478880 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 172478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342486144).

172478880 is an abundant number, since it is smaller than the sum of its proper divisors (512493408).

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

172478880 is a wasteful number, since it uses less digits than its factorization.

172478880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 172478880 is about 13133.1214872931. The cubic root of 172478880 is about 556.6454213190.

The spelling of 172478880 in words is "one hundred seventy-two million, four hundred seventy-eight thousand, eight hundred eighty".