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29720 = 235743

29720 has 16 divisors (see below), whose sum is σ = 66960. Its totient is φ = 11872.

The previous prime is 29717. The next prime is 29723. The reversal of 29720 is 2792.

It is an interprime number because it is at equal distance from previous prime (29717) and next prime (29723).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 29692 and 29701.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29720.

It is not an unprimeable number, because it can be changed into a prime (29723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

229720 is an apocalyptic number.

29720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29720 is an abundant number, since it is smaller than the sum of its proper divisors (37240).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480).

29720 is a wasteful number, since it uses less digits than its factorization.

29720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 29720 is about 172.3948955161. The cubic root of 29720 is about 30.9753532852.

The spelling of 29720 in words is "twenty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 743 1486 2972 3715 5944 7430 14860 29720