10017972 has 96 divisors (see below), whose sum is σ = 28089600. Its totient is φ = 3079296.

The previous prime is 10017967. The next prime is 10017977. The reversal of 10017972 is 27971001.

10017972 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10017967) and next prime (10017977).

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 (10017977) 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, 91854 + ... + 91962.

It is an arithmetic number, because the mean of its divisors is an integer number (292600).

Almost surely, 2^10017972 is an apocalyptic number.

10017972 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 10017972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14044800).

10017972 is an abundant number, since it is smaller than the sum of its proper divisors (18071628).

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

10017972 is a wasteful number, since it uses less digits than its factorization.

10017972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 10017972 is about 3165.1180072787. The cubic root of 10017972 is about 215.5724567626.

Adding to 10017972 its reverse (27971001), we get a palindrome (37988973).

The spelling of 10017972 in words is "ten million, seventeen thousand, nine hundred seventy-two".