72630 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 19296.

The previous prime is 72623. The next prime is 72643. The reversal of 72630 is 3627.

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

It is a congruent number.

It is an unprimeable number.

72630 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁷²⁶³⁰ is an apocalyptic number.

It is a pronic number, being equal to 269×270.

It is a practical number, because each smaller number is the sum of distinct divisors of 72630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

72630 is an abundant number, since it is smaller than the sum of its proper divisors (121770).

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

72630 is a wasteful number, since it uses less digits than its factorization.

72630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 72630 is about 269.4995361777. The cubic root of 72630 is about 41.7226624913.

The spelling of 72630 in words is "seventy-two thousand, six hundred thirty".