172005972 has 12 divisors (see below), whose sum is σ = 401347296. Its totient is φ = 57335320.

The previous prime is 172005877. The next prime is 172005979. The reversal of 172005972 is 279500271.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172005979) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7166904 + ... + 7166927.

It is an arithmetic number, because the mean of its divisors is an integer number (33445608).

Almost surely, 2^172005972 is an apocalyptic number.

172005972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

172005972 is an abundant number, since it is smaller than the sum of its proper divisors (229341324).

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

172005972 is a wasteful number, since it uses less digits than its factorization.

172005972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14333838 (or 14333836 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 172005972 is about 13115.1047269932. The cubic root of 172005972 is about 556.1362130254.

The spelling of 172005972 in words is "one hundred seventy-two million, five thousand, nine hundred seventy-two".