10323072 has 128 divisors (see below), whose sum is σ = 31824000. Its totient is φ = 3290112.

The previous prime is 10323059. The next prime is 10323073. The reversal of 10323072 is 27032301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10323073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100173 + ... + 100275.

It is an arithmetic number, because the mean of its divisors is an integer number (248625).

Almost surely, 2^10323072 is an apocalyptic number.

10323072 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 10323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912000).

10323072 is an abundant number, since it is smaller than the sum of its proper divisors (21500928).

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

10323072 is a wasteful number, since it uses less digits than its factorization.

10323072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 10323072 is about 3212.9537811802. The cubic root of 10323072 is about 217.7390475188.

Adding to 10323072 its reverse (27032301), we get a palindrome (37355373).

The spelling of 10323072 in words is "ten million, three hundred twenty-three thousand, seventy-two".