29878272 has 72 divisors (see below), whose sum is σ = 86347170. Its totient is φ = 9953280.

The previous prime is 29878271. The next prime is 29878283. The reversal of 29878272 is 27287892.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22127616 + 7750656 = 4704^2 + 2784^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×29878272² = 1785422275411968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29878271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17622 + ... + 19242.

Almost surely, 2^29878272 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 29878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43173585).

29878272 is an abundant number, since it is smaller than the sum of its proper divisors (56468898).

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

29878272 is a wasteful number, since it uses less digits than its factorization.

29878272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1626 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 29878272 is about 5466.1020846669. The cubic root of 29878272 is about 310.3024173362.

The spelling of 29878272 in words is "twenty-nine million, eight hundred seventy-eight thousand, two hundred seventy-two".