29272842720 has 480 divisors, whose sum is σ = 113698813536. Its totient is φ = 7092264960.

The previous prime is 29272842673. The next prime is 29272842721. The reversal of 29272842720 is 2724827292.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29272842721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17248912 + ... + 17250608.

Almost surely, 2^29272842720 is an apocalyptic number.

29272842720 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 29272842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56849406768).

29272842720 is an abundant number, since it is smaller than the sum of its proper divisors (84425970816).

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

29272842720 is a wasteful number, since it uses less digits than its factorization.

29272842720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 29272842720 in words is "twenty-nine billion, two hundred seventy-two million, eight hundred forty-two thousand, seven hundred twenty".