29367972 has 72 divisors (see below), whose sum is σ = 77189112. Its totient is φ = 9408000.

The previous prime is 29367929. The next prime is 29367983. The reversal of 29367972 is 27976392.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12916836 + 16451136 = 3594^2 + 4056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148978 + ... + 149174.

It is an arithmetic number, because the mean of its divisors is an integer number (1072071).

Almost surely, 2^29367972 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 29367972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38594556).

29367972 is an abundant number, since it is smaller than the sum of its proper divisors (47821140).

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

29367972 is a wasteful number, since it uses less digits than its factorization.

29367972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 344 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 29367972 is about 5419.2224534522. Note that the first 3 decimals coincide. The cubic root of 29367972 is about 308.5256806811.

It can be divided in two parts, 293 and 67972, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 29367972 in words is "twenty-nine million, three hundred sixty-seven thousand, nine hundred seventy-two".