10712352 has 96 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 2896128.

The previous prime is 10712347. The next prime is 10712353. The reversal of 10712352 is 25321701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10712352² = 229508970743808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10712353) 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, 12349 + ... + 13187.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^10712352 is an apocalyptic number.

10712352 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 10712352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

10712352 is an abundant number, since it is smaller than the sum of its proper divisors (23156448).

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

10712352 is a wasteful number, since it uses less digits than its factorization.

10712352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10712352 is about 3272.9729604749. The cubic root of 10712352 is about 220.4423057492.

The spelling of 10712352 in words is "ten million, seven hundred twelve thousand, three hundred fifty-two".