10054752 has 96 divisors (see below), whose sum is σ = 28685664. Its totient is φ = 3072000.

The previous prime is 10054747. The next prime is 10054763. The reversal of 10054752 is 25745001.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99502 + ... + 99602.

It is an arithmetic number, because the mean of its divisors is an integer number (298809).

Almost surely, 2^10054752 is an apocalyptic number.

10054752 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 10054752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342832).

10054752 is an abundant number, since it is smaller than the sum of its proper divisors (18630912).

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

10054752 is a wasteful number, since it uses less digits than its factorization.

10054752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 10054752 is about 3170.9228940484. The cubic root of 10054752 is about 215.8359522581.

Adding to 10054752 its reverse (25745001), we get a palindrome (35799753).

The spelling of 10054752 in words is "ten million, fifty-four thousand, seven hundred fifty-two".