29613972 has 48 divisors (see below), whose sum is σ = 73890432. Its totient is φ = 9208320.

The previous prime is 29613937. The next prime is 29613973. The reversal of 29613972 is 27931692.

It is a self number, because there is not a number n which added to its sum of digits gives 29613972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29613973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10008 + ... + 12624.

It is an arithmetic number, because the mean of its divisors is an integer number (1539384).

Almost surely, 2^29613972 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 29613972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36945216).

29613972 is an abundant number, since it is smaller than the sum of its proper divisors (44276460).

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

29613972 is a wasteful number, since it uses less digits than its factorization.

29613972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2686 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 29613972 is about 5441.8721043406. The cubic root of 29613972 is about 309.3847387609.

The spelling of 29613972 in words is "twenty-nine million, six hundred thirteen thousand, nine hundred seventy-two".