10296972 has 72 divisors (see below), whose sum is σ = 30794400. Its totient is φ = 2838528.

The previous prime is 10296971. The next prime is 10296973. The reversal of 10296972 is 27969201.

10296972 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 (10296971) and next prime (10296973).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10296971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6604 + ... + 8012.

It is an arithmetic number, because the mean of its divisors is an integer number (427700).

Almost surely, 2^10296972 is an apocalyptic number.

10296972 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 10296972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397200).

10296972 is an abundant number, since it is smaller than the sum of its proper divisors (20497428).

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

10296972 is a wasteful number, since it uses less digits than its factorization.

10296972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 10296972 is about 3208.8895275469. The cubic root of 10296972 is about 217.5553881926. Note that the first 3 decimals are identical.

It can be divided in two parts, 102969 and 72, that added together give a square (103041 = 321²).

The spelling of 10296972 in words is "ten million, two hundred ninety-six thousand, nine hundred seventy-two".