172416640 has 128 divisors (see below), whose sum is σ = 473688000. Its totient is φ = 59351040.

The previous prime is 172416623. The next prime is 172416641. The reversal of 172416640 is 46614271.

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

It is not an unprimeable number, because it can be changed into a prime (172416641) 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, 133116 + ... + 134404.

Almost surely, 2^172416640 is an apocalyptic number.

172416640 is a gapful number since it is divisible by the number (10) 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 172416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236844000).

172416640 is an abundant number, since it is smaller than the sum of its proper divisors (301271360).

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

172416640 is a wasteful number, since it uses less digits than its factorization.

172416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 172416640 is about 13130.7516921157. The cubic root of 172416640 is about 556.5784570251.

It can be divided in two parts, 1724166 and 40, that multiplied together give a triangular number (68966640 = T₁₁₇₄₄).

The spelling of 172416640 in words is "one hundred seventy-two million, four hundred sixteen thousand, six hundred forty".