10065972 has 144 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 2515968.

The previous prime is 10065971. The next prime is 10065977. The reversal of 10065972 is 27956001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10065971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189898 + ... + 189950.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^10065972 is an apocalyptic number.

10065972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10065972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

10065972 is an abundant number, since it is smaller than the sum of its proper divisors (20960268).

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

10065972 is a wasteful number, since it uses less digits than its factorization.

10065972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 10065972 is about 3172.6916017792. The cubic root of 10065972 is about 215.9162054944.

The spelling of 10065972 in words is "ten million, sixty-five thousand, nine hundred seventy-two".