10125972 has 30 divisors (see below), whose sum is σ = 26472138. Its totient is φ = 3375216.

The previous prime is 10125971. The next prime is 10125977. The reversal of 10125972 is 27952101.

It can be written as a sum of positive squares in only one way, i.e., 9036036 + 1089936 = 3006^2 + 1044^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125971) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15303 + ... + 15950.

Almost surely, 2^10125972 is an apocalyptic number.

10125972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10125972 is an abundant number, since it is smaller than the sum of its proper divisors (16346166).

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

10125972 is a wasteful number, since it uses less digits than its factorization.

10125972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31269 (or 31258 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10125972 is about 3182.1332467387. The cubic root of 10125972 is about 216.3443581225.

The spelling of 10125972 in words is "ten million, one hundred twenty-five thousand, nine hundred seventy-two".