10320072 has 64 divisors (see below), whose sum is σ = 30136320. Its totient is φ = 2883648.

The previous prime is 10320067. The next prime is 10320091. The reversal of 10320072 is 27002301.

10320072 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 unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7243 + ... + 8549.

It is an arithmetic number, because the mean of its divisors is an integer number (470880).

Almost surely, 2^10320072 is an apocalyptic number.

10320072 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 10320072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068160).

10320072 is an abundant number, since it is smaller than the sum of its proper divisors (19816248).

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

10320072 is a wasteful number, since it uses less digits than its factorization.

10320072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1366 counting only the distinct ones).

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

The square root of 10320072 is about 3212.4868871328. The cubic root of 10320072 is about 217.7179530091.

Adding to 10320072 its reverse (27002301), we get a palindrome (37322373).

The spelling of 10320072 in words is "ten million, three hundred twenty thousand, seventy-two".