172113040 has 80 divisors (see below), whose sum is σ = 440168256. Its totient is φ = 62067200.

The previous prime is 172113037. The next prime is 172113059. The reversal of 172113040 is 40311271.

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

It is a junction number, because it is equal to n+sod(n) for n = 172112999 and 172113017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114534 + ... + 116026.

Almost surely, 2^172113040 is an apocalyptic number.

172113040 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 172113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220084128).

172113040 is an abundant number, since it is smaller than the sum of its proper divisors (268055216).

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

172113040 is a wasteful number, since it uses less digits than its factorization.

172113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 172113040 is about 13119.1859503553. The cubic root of 172113040 is about 556.2515811932.

The spelling of 172113040 in words is "one hundred seventy-two million, one hundred thirteen thousand, forty".