29072960 has 56 divisors (see below), whose sum is σ = 79126080. Its totient is φ = 9967104.

The previous prime is 29072957. The next prime is 29072963. The reversal of 29072960 is 6927092.

It is an interprime number because it is at equal distance from previous prime (29072957) and next prime (29072963).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 29072960.

It is not an unprimeable number, because it can be changed into a prime (29072963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4250 + ... + 8729.

Almost surely, 2^29072960 is an apocalyptic number.

29072960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29072960 is an abundant number, since it is smaller than the sum of its proper divisors (50053120).

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

29072960 is a wasteful number, since it uses less digits than its factorization.

29072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13003 (or 12993 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 29072960 is about 5391.9347177057. The cubic root of 29072960 is about 307.4891176443.

The spelling of 29072960 in words is "twenty-nine million, seventy-two thousand, nine hundred sixty".