8072730 has 64 divisors (see below), whose sum is σ = 22291200. Its totient is φ = 2076480.

The previous prime is 8072717. The next prime is 8072737. The reversal of 8072730 is 372708.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8072694 and 8072703.

It is not an unprimeable number, because it can be changed into a prime (8072737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7315 + ... + 8345.

It is an arithmetic number, because the mean of its divisors is an integer number (348300).

Almost surely, 2^8072730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8072730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145600).

8072730 is an abundant number, since it is smaller than the sum of its proper divisors (14218470).

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

8072730 is a wasteful number, since it uses less digits than its factorization.

8072730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 8072730 is about 2841.2550043951. The cubic root of 8072730 is about 200.6042558690.

The spelling of 8072730 in words is "eight million, seventy-two thousand, seven hundred thirty".