29072640 has 144 divisors (see below), whose sum is σ = 95070528. Its totient is φ = 7569408.

The previous prime is 29072629. The next prime is 29072647. The reversal of 29072640 is 4627092.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29072598 and 29072607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29072647) 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, 257224 + ... + 257336.

It is an arithmetic number, because the mean of its divisors is an integer number (660212).

Almost surely, 2^29072640 is an apocalyptic number.

29072640 is a gapful number since it is divisible by the number (20) 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 29072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47535264).

29072640 is an abundant number, since it is smaller than the sum of its proper divisors (65997888).

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

29072640 is a wasteful number, since it uses less digits than its factorization.

29072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 29072640 is about 5391.9050436743. The cubic root of 29072640 is about 307.4879894840.

The spelling of 29072640 in words is "twenty-nine million, seventy-two thousand, six hundred forty".