172748560 has 80 divisors (see below), whose sum is σ = 436887216. Its totient is φ = 63258624.

The previous prime is 172748549. The next prime is 172748567. The reversal of 172748560 is 65847271.

172748560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8088336 + 164660224 = 2844^2 + 12832^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (172748567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48604 + ... + 52036.

Almost surely, 2^172748560 is an apocalyptic number.

172748560 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 172748560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218443608).

172748560 is an abundant number, since it is smaller than the sum of its proper divisors (264138656).

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

172748560 is a wasteful number, since it uses less digits than its factorization.

172748560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 172748560 is about 13143.3846477991. The cubic root of 172748560 is about 556.9353852591.

The spelling of 172748560 in words is "one hundred seventy-two million, seven hundred forty-eight thousand, five hundred sixty".