8072353 has 8 divisors (see below), whose sum is σ = 8404200. Its totient is φ = 7744128.

The previous prime is 8072329. The next prime is 8072357. The reversal of 8072353 is 3532708.

It can be written as a sum of positive squares in 4 ways, for example, as 5438224 + 2634129 = 2332^2 + 1623^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8072353 - 2¹⁷ = 7941281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8072357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4213 + ... + 5821.

It is an arithmetic number, because the mean of its divisors is an integer number (1050525).

Almost surely, 2^8072353 is an apocalyptic number.

It is an amenable number.

8072353 is a deficient number, since it is larger than the sum of its proper divisors (331847).

8072353 is a wasteful number, since it uses less digits than its factorization.

8072353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 8072353 is about 2841.1886596986. The cubic root of 8072353 is about 200.6011330517.

It can be divided in two parts, 807 and 2353, that added together give a triangular number (3160 = T₇₉).

The spelling of 8072353 in words is "eight million, seventy-two thousand, three hundred fifty-three".