10290672 has 160 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 2833920.

The previous prime is 10290671. The next prime is 10290677. The reversal of 10290672 is 27609201.

It is a super-3 number, since 3×10290672³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10290671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123943 + ... + 124025.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 2^10290672 is an apocalyptic number.

10290672 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 10290672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

10290672 is an abundant number, since it is smaller than the sum of its proper divisors (24707088).

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

10290672 is a wasteful number, since it uses less digits than its factorization.

10290672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10290672 is about 3207.9077293463. The cubic root of 10290672 is about 217.5110101442.

Adding to 10290672 its reverse (27609201), we get a palindrome (37899873).

The spelling of 10290672 in words is "ten million, two hundred ninety thousand, six hundred seventy-two".