8430072 has 96 divisors (see below), whose sum is σ = 25603200. Its totient is φ = 2265408.

The previous prime is 8430067. The next prime is 8430073. The reversal of 8430072 is 2700348.

It is a super-2 number, since 2×8430072² = 142132227850368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8430073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60579 + ... + 60717.

It is an arithmetic number, because the mean of its divisors is an integer number (266700).

Almost surely, 2^8430072 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 8430072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801600).

8430072 is an abundant number, since it is smaller than the sum of its proper divisors (17173128).

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

8430072 is a wasteful number, since it uses less digits than its factorization.

8430072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 8430072 is about 2903.4586272237. The cubic root of 8430072 is about 203.5215623891.

The spelling of 8430072 in words is "eight million, four hundred thirty thousand, seventy-two".