10072363 has 16 divisors (see below), whose sum is σ = 11925760. Its totient is φ = 8328096.

The previous prime is 10072351. The next prime is 10072373. The reversal of 10072363 is 36327001.

10072363 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10072363 - 2¹⁷ = 9941291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10072343) 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, 32656 + ... + 32962.

It is an arithmetic number, because the mean of its divisors is an integer number (745360).

Almost surely, 2^10072363 is an apocalyptic number.

10072363 is a deficient number, since it is larger than the sum of its proper divisors (1853397).

10072363 is a wasteful number, since it uses less digits than its factorization.

10072363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 10072363 is about 3173.6986309352. The cubic root of 10072363 is about 215.9618917110.

Adding to 10072363 its reverse (36327001), we get a palindrome (46399364).

The spelling of 10072363 in words is "ten million, seventy-two thousand, three hundred sixty-three".