172416761 has 16 divisors (see below), whose sum is σ = 194781696. Its totient is φ = 151200000.

The previous prime is 172416733. The next prime is 172416779. The reversal of 172416761 is 167614271.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 172416761 - 2²⁶ = 105307897 is a prime.

It is a super-2 number, since 2×172416761² = 59455078947462242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172416701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142961 + ... + 144161.

It is an arithmetic number, because the mean of its divisors is an integer number (12173856).

Almost surely, 2^172416761 is an apocalyptic number.

172416761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

172416761 is a deficient number, since it is larger than the sum of its proper divisors (22364935).

172416761 is a wasteful number, since it uses less digits than its factorization.

172416761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664.

The product of its digits is 14112, while the sum is 35.

The square root of 172416761 is about 13130.7562996196. The cubic root of 172416761 is about 556.5785872252.

The spelling of 172416761 in words is "one hundred seventy-two million, four hundred sixteen thousand, seven hundred sixty-one".