172129440 has 96 divisors (see below), whose sum is σ = 619678080. Its totient is φ = 39343104.

The previous prime is 172129409. The next prime is 172129457. The reversal of 172129440 is 44921271.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×172129440² = 59257088229427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 172129398 and 172129407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22255 + ... + 28974.

It is an arithmetic number, because the mean of its divisors is an integer number (6454980).

Almost surely, 2^172129440 is an apocalyptic number.

172129440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172129440 is an abundant number, since it is smaller than the sum of its proper divisors (447548640).

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

172129440 is a wasteful number, since it uses less digits than its factorization.

172129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51254 (or 51246 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 172129440 is about 13119.8109742481. The cubic root of 172129440 is about 556.2692483345.

The spelling of 172129440 in words is "one hundred seventy-two million, one hundred twenty-nine thousand, four hundred forty".