29105972 has 48 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 11481600.

The previous prime is 29105959. The next prime is 29105981. The reversal of 29105972 is 27950192.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21722 + ... + 23022.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^29105972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29105972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

29105972 is an abundant number, since it is smaller than the sum of its proper divisors (33889996).

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

29105972 is a wasteful number, since it uses less digits than its factorization.

29105972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 29105972 is about 5394.9950880422. The cubic root of 29105972 is about 307.6054570323.

The spelling of 29105972 in words is "twenty-nine million, one hundred five thousand, nine hundred seventy-two".