10072320 has 144 divisors (see below), whose sum is σ = 33456192. Its totient is φ = 2580480.

The previous prime is 10072319. The next prime is 10072327. The reversal of 10072320 is 2327001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10072320.

It is not an unprimeable number, because it can be changed into a prime (10072327) 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, 165090 + ... + 165150.

Almost surely, 2^10072320 is an apocalyptic number.

10072320 is a gapful number since it is divisible by the number (10) 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 10072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16728096).

10072320 is an abundant number, since it is smaller than the sum of its proper divisors (23383872).

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

10072320 is an equidigital number, since it uses as much as digits as its factorization.

10072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 10072320 is about 3173.6918564977. The cubic root of 10072320 is about 215.9615843890.

Adding to 10072320 its reverse (2327001), we get a palindrome (12399321).

The spelling of 10072320 in words is "ten million, seventy-two thousand, three hundred twenty".