10072509 has 8 divisors (see below), whose sum is σ = 13505760. Its totient is φ = 6677136.

The previous prime is 10072501. The next prime is 10072519. The reversal of 10072509 is 90527001.

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

It is not a de Polignac number, because 10072509 - 2³ = 10072501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072501) 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, 8842 + ... + 9915.

It is an arithmetic number, because the mean of its divisors is an integer number (1688220).

Almost surely, 2^10072509 is an apocalyptic number.

It is an amenable number.

10072509 is a deficient number, since it is larger than the sum of its proper divisors (3433251).

10072509 is a wasteful number, since it uses less digits than its factorization.

10072509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18939.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 10072509 is about 3173.7216324057. The cubic root of 10072509 is about 215.9629351697.

The spelling of 10072509 in words is "ten million, seventy-two thousand, five hundred nine".