29404132272 has 80 divisors (see below), whose sum is σ = 84643020000. Its totient is φ = 9773243136.

The previous prime is 29404132253. The next prime is 29404132291. The reversal of 29404132272 is 27223140492.

It is a happy number.

29404132272 is a `hidden beast` number, since 29 + 404 + 1 + 3 + 227 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (29404132253) and next prime (29404132291).

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

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, 53254 + ... + 248282.

It is an arithmetic number, because the mean of its divisors is an integer number (1058037750).

Almost surely, 2^29404132272 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 29404132272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42321510000).

29404132272 is an abundant number, since it is smaller than the sum of its proper divisors (55238887728).

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

29404132272 is a wasteful number, since it uses less digits than its factorization.

29404132272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195395 (or 195383 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 29404132272 in words is "twenty-nine billion, four hundred four million, one hundred thirty-two thousand, two hundred seventy-two".