10052672 has 56 divisors (see below), whose sum is σ = 24018240. Its totient is φ = 4078080.

The previous prime is 10052663. The next prime is 10052681. The reversal of 10052672 is 27625001.

It is an interprime number because it is at equal distance from previous prime (10052663) and next prime (10052681).

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7922 + ... + 9102.

Almost surely, 2^10052672 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 10052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12009120).

10052672 is an abundant number, since it is smaller than the sum of its proper divisors (13965568).

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

10052672 is a wasteful number, since it uses less digits than its factorization.

10052672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10052672 is about 3170.5948968608. The cubic root of 10052672 is about 215.8210680938.

Adding to 10052672 its reverse (27625001), we get a palindrome (37677673).

The spelling of 10052672 in words is "ten million, fifty-two thousand, six hundred seventy-two".