930072 has 64 divisors (see below), whose sum is σ = 2741760. Its totient is φ = 259200.

The previous prime is 930071. The next prime is 930073. The reversal of 930072 is 270039.

It is an interprime number because it is at equal distance from previous prime (930071) and next prime (930073).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930071) 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, 3297 + ... + 3567.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2⁹³⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370880).

930072 is an abundant number, since it is smaller than the sum of its proper divisors (1811688).

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

930072 is a wasteful number, since it uses less digits than its factorization.

930072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

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

The square root of 930072 is about 964.4024056378. The cubic root of 930072 is about 97.6125196696.

The spelling of 930072 in words is "nine hundred thirty thousand, seventy-two".