10509972 has 24 divisors (see below), whose sum is σ = 26752992. Its totient is φ = 3184800.

The previous prime is 10509971. The next prime is 10509973. The reversal of 10509972 is 27990501.

It is an interprime number because it is at equal distance from previous prime (10509971) and next prime (10509973).

It is a super-2 number, since 2×10509972² = 220919022881568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509971) 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, 39679 + ... + 39942.

It is an arithmetic number, because the mean of its divisors is an integer number (1114708).

Almost surely, 2^10509972 is an apocalyptic number.

10509972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10509972 is an abundant number, since it is smaller than the sum of its proper divisors (16243020).

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

10509972 is a wasteful number, since it uses less digits than its factorization.

10509972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79639 (or 79637 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 10509972 is about 3241.9086970487. The cubic root of 10509972 is about 219.0452565923.

The spelling of 10509972 in words is "ten million, five hundred nine thousand, nine hundred seventy-two".