10076352 has 112 divisors (see below), whose sum is σ = 31406592. Its totient is φ = 2810880.

The previous prime is 10076351. The next prime is 10076357. The reversal of 10076352 is 25367001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10076351) 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, 27273 + ... + 27639.

It is an arithmetic number, because the mean of its divisors is an integer number (280416).

Almost surely, 2^10076352 is an apocalyptic number.

10076352 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 10076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15703296).

10076352 is an abundant number, since it is smaller than the sum of its proper divisors (21330240).

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

10076352 is a wasteful number, since it uses less digits than its factorization.

10076352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 10076352 is about 3174.3270152900. The cubic root of 10076352 is about 215.9903973783.

The spelling of 10076352 in words is "ten million, seventy-six thousand, three hundred fifty-two".