153720 has 96 divisors (see below), whose sum is σ = 580320. Its totient is φ = 34560.

The previous prime is 153719. The next prime is 153733. The reversal of 153720 is 27351.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 153693 and 153702.

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 153720.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2490 + ... + 2550.

It is an arithmetic number, because the mean of its divisors is an integer number (6045).

2¹⁵³⁷²⁰ is an apocalyptic number.

153720 is a gapful number since it is divisible by the number (10) 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 153720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160).

153720 is an abundant number, since it is smaller than the sum of its proper divisors (426600).

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

153720 is a wasteful number, since it uses less digits than its factorization.

153720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 153720 is about 392.0714220649. The cubic root of 153720 is about 53.5685788960.

The spelling of 153720 in words is "one hundred fifty-three thousand, seven hundred twenty".