69720 has 64 divisors (see below), whose sum is σ = 241920. Its totient is φ = 15744.

The previous prime is 69709. The next prime is 69737. The reversal of 69720 is 2796.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

69720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁶⁹⁷²⁰ is an apocalyptic number.

69720 is a gapful number since it is divisible by the number (60) 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 69720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

69720 is an abundant number, since it is smaller than the sum of its proper divisors (172200).

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

69720 is a wasteful number, since it uses less digits than its factorization.

69720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 69720 is about 264.0454506330. The cubic root of 69720 is about 41.1578290969.

Subtracting from 69720 its sum of digits (24), we obtain a palindrome (69696).

It can be divided in two parts, 697 and 20, that added together give a palindrome (717).

The spelling of 69720 in words is "sixty-nine thousand, seven hundred twenty".