10452672 has 112 divisors (see below), whose sum is σ = 32186880. Its totient is φ = 3320064.

The previous prime is 10452667. The next prime is 10452677. The reversal of 10452672 is 27625401.

It is an interprime number because it is at equal distance from previous prime (10452667) and next prime (10452677).

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

It is not an unprimeable number, because it can be changed into a prime (10452677) 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, 39613 + ... + 39875.

Almost surely, 2^10452672 is an apocalyptic number.

10452672 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 10452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16093440).

10452672 is an abundant number, since it is smaller than the sum of its proper divisors (21734208).

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

10452672 is a wasteful number, since it uses less digits than its factorization.

10452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10452672 is about 3233.0592323680. The cubic root of 10452672 is about 218.6464552672.

The spelling of 10452672 in words is "ten million, four hundred fifty-two thousand, six hundred seventy-two".