10506072 has 16 divisors (see below), whose sum is σ = 26265240. Its totient is φ = 3502016.

The previous prime is 10506059. The next prime is 10506077. The reversal of 10506072 is 27060501.

It is a super-2 number, since 2×10506072² = 220755097738368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506077) 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, 218853 + ... + 218900.

Almost surely, 2^10506072 is an apocalyptic number.

10506072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10506072 is an abundant number, since it is smaller than the sum of its proper divisors (15759168).

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

10506072 is a wasteful number, since it uses less digits than its factorization.

10506072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437762 (or 437758 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10506072 is about 3241.3071437308. The cubic root of 10506072 is about 219.0181590831.

Adding to 10506072 its reverse (27060501), we get a palindrome (37566573).

The spelling of 10506072 in words is "ten million, five hundred six thousand, seventy-two".