129622752 has 144 divisors (see below), whose sum is σ = 425748960. Its totient is φ = 36642816.

The previous prime is 129622751. The next prime is 129622763. The reversal of 129622752 is 257226921.

It is a happy number.

129622752 is a `hidden beast` number, since 1 + 29 + 622 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129622751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227524 + ... + 228092.

It is an arithmetic number, because the mean of its divisors is an integer number (2956590).

Almost surely, 2^129622752 is an apocalyptic number.

129622752 is a gapful number since it is divisible by the number (12) 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 129622752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212874480).

129622752 is an abundant number, since it is smaller than the sum of its proper divisors (296126208).

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

129622752 is a wasteful number, since it uses less digits than its factorization.

129622752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 129622752 is about 11385.1988124934. The cubic root of 129622752 is about 506.0892113063.

The spelling of 129622752 in words is "one hundred twenty-nine million, six hundred twenty-two thousand, seven hundred fifty-two".