172295040 has 128 divisors (see below), whose sum is σ = 578217600. Its totient is φ = 43517952.

The previous prime is 172295033. The next prime is 172295083. The reversal of 172295040 is 40592271.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 172294989 and 172295007.

It is a congruent number.

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, 34119 + ... + 38841.

It is an arithmetic number, because the mean of its divisors is an integer number (4517325).

Almost surely, 2^172295040 is an apocalyptic number.

172295040 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 172295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289108800).

172295040 is an abundant number, since it is smaller than the sum of its proper divisors (405922560).

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

172295040 is a wasteful number, since it uses less digits than its factorization.

172295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 172295040 is about 13126.1205235972. The cubic root of 172295040 is about 556.4475805284.

The spelling of 172295040 in words is "one hundred seventy-two million, two hundred ninety-five thousand, forty".