10072624 has 20 divisors (see below), whose sum is σ = 19673344. Its totient is φ = 4995648.

The previous prime is 10072609. The next prime is 10072627. The reversal of 10072624 is 42627001.

It is a junction number, because it is equal to n+sod(n) for n = 10072595 and 10072604.

It is not an unprimeable number, because it can be changed into a prime (10072627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 447 + ... + 4510.

Almost surely, 2^10072624 is an apocalyptic number.

It is an amenable number.

10072624 is a deficient number, since it is larger than the sum of its proper divisors (9600720).

10072624 is a wasteful number, since it uses less digits than its factorization.

10072624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 10072624 is about 3173.7397498850. The cubic root of 10072624 is about 215.9637570650.

Adding to 10072624 its reverse (42627001), we get a palindrome (52699625).

The spelling of 10072624 in words is "ten million, seventy-two thousand, six hundred twenty-four".