10812672 has 162 divisors, whose sum is σ = 35433762. Its totient is φ = 3151872.

The previous prime is 10812667. The next prime is 10812713. The reversal of 10812672 is 27621801.

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 3326976 = 2736^2 + 1824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 569079 + ... + 569097.

Almost surely, 2^10812672 is an apocalyptic number.

10812672 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 10812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17716881).

10812672 is an abundant number, since it is smaller than the sum of its proper divisors (24621090).

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

10812672 is a wasteful number, since it uses less digits than its factorization.

10812672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10812672 is about 3288.2627632232. The cubic root of 10812672 is about 221.1283080673.

The spelling of 10812672 in words is "ten million, eight hundred twelve thousand, six hundred seventy-two".