172724034 has 64 divisors (see below), whose sum is σ = 411079680. Its totient is φ = 47355840.

The previous prime is 172724011. The next prime is 172724053. The reversal of 172724034 is 430427271.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 172723992 and 172724010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105744 + ... + 107364.

It is an arithmetic number, because the mean of its divisors is an integer number (6423120).

Almost surely, 2^172724034 is an apocalyptic number.

172724034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172724034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205539840).

172724034 is an abundant number, since it is smaller than the sum of its proper divisors (238355646).

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

172724034 is a wasteful number, since it uses less digits than its factorization.

172724034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735.

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 172724034 is about 13142.4515977804. The cubic root of 172724034 is about 556.9090270196.

It can be divided in two parts, 172 and 724034, that added together give a triangular number (724206 = T₁₂₀₃).

The spelling of 172724034 in words is "one hundred seventy-two million, seven hundred twenty-four thousand, thirty-four".