172355040 has 576 divisors, whose sum is σ = 739694592. Its totient is φ = 37324800.

The previous prime is 172355039. The next prime is 172355047. The reversal of 172355040 is 40553271.

It is a happy number.

172355040 is a `hidden beast` number, since 1 + 72 + 3 + 550 + 40 = 666.

172355040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 172354995 and 172355013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172355047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5559825 + ... + 5559855.

It is an arithmetic number, because the mean of its divisors is an integer number (1284192).

Almost surely, 2^172355040 is an apocalyptic number.

172355040 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 172355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369847296).

172355040 is an abundant number, since it is smaller than the sum of its proper divisors (567339552).

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

172355040 is a wasteful number, since it uses less digits than its factorization.

172355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 172355040 is about 13128.4058438182. The cubic root of 172355040 is about 556.5121654405.

The spelling of 172355040 in words is "one hundred seventy-two million, three hundred fifty-five thousand, forty".