1009752 has 16 divisors (see below), whose sum is σ = 2524440. Its totient is φ = 336576.

The previous prime is 1009747. The next prime is 1009781. The reversal of 1009752 is 2579001.

1009752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 42073 = 1009752 / (1 + 0 + 0 + 9 + 7 + 5 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21013 + ... + 21060.

2^1009752 is an apocalyptic number.

1009752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1009752 is an abundant number, since it is smaller than the sum of its proper divisors (1514688).

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

1009752 is a wasteful number, since it uses less digits than its factorization.

1009752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42082 (or 42078 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 1009752 is about 1004.8641699255. The cubic root of 1009752 is about 100.3240156712.

The spelling of 1009752 in words is "one million, nine thousand, seven hundred fifty-two".