65730 has 32 divisors (see below), whose sum is σ = 180864. Its totient is φ = 14976.

The previous prime is 65729. The next prime is 65731. The reversal of 65730 is 3756.

It is an interprime number because it is at equal distance from previous prime (65729) and next prime (65731).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 65697 and 65706.

It is not an unprimeable number, because it can be changed into a prime (65731) 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, 54 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (5652).

2⁶⁵⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90432).

65730 is an abundant number, since it is smaller than the sum of its proper divisors (115134).

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

65730 is a wasteful number, since it uses less digits than its factorization.

65730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 65730 is about 256.3786262542. The cubic root of 65730 is about 40.3572170695.

The spelling of 65730 in words is "sixty-five thousand, seven hundred thirty".