10072335 has 64 divisors (see below), whose sum is σ = 20385792. Its totient is φ = 4133376.

The previous prime is 10072327. The next prime is 10072339. The reversal of 10072335 is 53327001.

It is a happy number.

10072335 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10072335 - 2³ = 10072327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64077 + ... + 64233.

It is an arithmetic number, because the mean of its divisors is an integer number (318528).

Almost surely, 2^10072335 is an apocalyptic number.

10072335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10072335 is an abundant number, since it is smaller than the sum of its proper divisors (10313457).

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

10072335 is a wasteful number, since it uses less digits than its factorization.

10072335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 10072335 is about 3173.6942196752. The cubic root of 10072335 is about 215.9616915945.

Adding to 10072335 its reverse (53327001), we get a palindrome (63399336).

The spelling of 10072335 in words is "ten million, seventy-two thousand, three hundred thirty-five".