72930 has 64 divisors (see below), whose sum is σ = 217728. Its totient is φ = 15360.

The previous prime is 72923. The next prime is 72931. The reversal of 72930 is 3927.

72930 = T₁₁ + T₁₂ + ... + T₇₅.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72897 and 72906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72931) by changing a digit.

72930 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 31 ways as a sum of consecutive naturals, for example, 4282 + ... + 4298.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2⁷²⁹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

72930 is an abundant number, since it is smaller than the sum of its proper divisors (144798).

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

72930 is a wasteful number, since it uses less digits than its factorization.

72930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 72930 is about 270.0555498411. The cubic root of 72930 is about 41.7800290732.

The spelling of 72930 in words is "seventy-two thousand, nine hundred thirty".