10072029 has 32 divisors (see below), whose sum is σ = 15387264. Its totient is φ = 5806080.

The previous prime is 10072009. The next prime is 10072031. The reversal of 10072029 is 92027001.

It is a happy number.

It is not a de Polignac number, because 10072029 - 2⁹ = 10071517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10071996 and 10072014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89077 + ... + 89189.

It is an arithmetic number, because the mean of its divisors is an integer number (480852).

Almost surely, 2^10072029 is an apocalyptic number.

It is an amenable number.

10072029 is a deficient number, since it is larger than the sum of its proper divisors (5315235).

10072029 is a wasteful number, since it uses less digits than its factorization.

10072029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10072029 is about 3173.6460105059. The cubic root of 10072029 is about 215.9595045827.

The spelling of 10072029 in words is "ten million, seventy-two thousand, twenty-nine".