29172960 has 120 divisors (see below), whose sum is σ = 103001976. Its totient is φ = 7776000.

The previous prime is 29172959. The next prime is 29172973. The reversal of 29172960 is 6927192.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11835 + ... + 14085.

Almost surely, 2^29172960 is an apocalyptic number.

29172960 is a gapful number since it is divisible by the number (20) 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 29172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51500988).

29172960 is an abundant number, since it is smaller than the sum of its proper divisors (73829016).

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

29172960 is a wasteful number, since it uses less digits than its factorization.

29172960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 29172960 is about 5401.1998666963. The cubic root of 29172960 is about 307.8412630066.

The spelling of 29172960 in words is "twenty-nine million, one hundred seventy-two thousand, nine hundred sixty".