172014976 has 128 divisors (see below), whose sum is σ = 433589760. Its totient is φ = 66232320.

The previous prime is 172014949. The next prime is 172014977. The reversal of 172014976 is 679410271.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172014977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350091 + ... + 350581.

It is an arithmetic number, because the mean of its divisors is an integer number (3387420).

Almost surely, 2^172014976 is an apocalyptic number.

172014976 is a gapful number since it is divisible by the number (16) 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 172014976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216794880).

172014976 is an abundant number, since it is smaller than the sum of its proper divisors (261574784).

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

172014976 is a wasteful number, since it uses less digits than its factorization.

172014976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 172014976 is about 13115.4479908236. The cubic root of 172014976 is about 556.1459168805.

The spelling of 172014976 in words is "one hundred seventy-two million, fourteen thousand, nine hundred seventy-six".