29649972 has 96 divisors (see below), whose sum is σ = 81454464. Its totient is φ = 8294400.

The previous prime is 29649959. The next prime is 29649973. The reversal of 29649972 is 27994692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29649973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163722 + ... + 163902.

It is an arithmetic number, because the mean of its divisors is an integer number (848484).

Almost surely, 2^29649972 is an apocalyptic number.

29649972 is a gapful number since it is divisible by the number (22) 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 29649972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40727232).

29649972 is an abundant number, since it is smaller than the sum of its proper divisors (51804492).

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

29649972 is a wasteful number, since it uses less digits than its factorization.

29649972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 29649972 is about 5445.1787849436. The cubic root of 29649972 is about 309.5100550634.

The spelling of 29649972 in words is "twenty-nine million, six hundred forty-nine thousand, nine hundred seventy-two".