10072608 has 96 divisors (see below), whose sum is σ = 32570496. Its totient is φ = 2654208.

The previous prime is 10072607. The next prime is 10072609. The reversal of 10072608 is 80627001.

It is an interprime number because it is at equal distance from previous prime (10072607) and next prime (10072609).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10072607) 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, 8160 + ... + 9312.

It is an arithmetic number, because the mean of its divisors is an integer number (339276).

Almost surely, 2^10072608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10072608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285248).

10072608 is an abundant number, since it is smaller than the sum of its proper divisors (22497888).

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

10072608 is a wasteful number, since it uses less digits than its factorization.

10072608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10072608 is about 3173.7372291984. The cubic root of 10072608 is about 215.9636427147.

Adding to 10072608 its reverse (80627001), we get a palindrome (90699609).

The spelling of 10072608 in words is "ten million, seventy-two thousand, six hundred eight".