29765472 has 96 divisors (see below), whose sum is σ = 86655744. Its totient is φ = 8870400.

The previous prime is 29765471. The next prime is 29765497. The reversal of 29765472 is 27456792.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29765471) 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, 74778 + ... + 75174.

It is an arithmetic number, because the mean of its divisors is an integer number (902664).

Almost surely, 2^29765472 is an apocalyptic number.

29765472 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 29765472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43327872).

29765472 is an abundant number, since it is smaller than the sum of its proper divisors (56890272).

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

29765472 is a wasteful number, since it uses less digits than its factorization.

29765472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 29765472 is about 5455.7741888755. The cubic root of 29765472 is about 309.9114280432.

It can be divided in two parts, 2976 and 5472, that added together give a palindrome (8448).

The spelling of 29765472 in words is "twenty-nine million, seven hundred sixty-five thousand, four hundred seventy-two".