172072131 has 64 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 84522240.

The previous prime is 172072093. The next prime is 172072133. The reversal of 172072131 is 131270271.

It is not a de Polignac number, because 172072131 - 2⁶ = 172072067 is a prime.

It is a super-2 number, since 2×172072131² = 59217636533762322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172072133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 738391 + ... + 738623.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^172072131 is an apocalyptic number.

172072131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

172072131 is a deficient number, since it is larger than the sum of its proper divisors (129844029).

172072131 is a wasteful number, since it uses less digits than its factorization.

172072131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416.

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 172072131 is about 13117.6267289476. The cubic root of 172072131 is about 556.2075064791.

The spelling of 172072131 in words is "one hundred seventy-two million, seventy-two thousand, one hundred thirty-one".