10146672 has 60 divisors (see below), whose sum is σ = 29325504. Its totient is φ = 3271680.

The previous prime is 10146659. The next prime is 10146677. The reversal of 10146672 is 27664101.

10146672 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3328 + ... + 5600.

Almost surely, 2^10146672 is an apocalyptic number.

10146672 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 10146672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14662752).

10146672 is an abundant number, since it is smaller than the sum of its proper divisors (19178832).

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

10146672 is a wasteful number, since it uses less digits than its factorization.

10146672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10146672 is about 3185.3841212639. The cubic root of 10146672 is about 216.4916783031.

The spelling of 10146672 in words is "ten million, one hundred forty-six thousand, six hundred seventy-two".