1007752872 has 64 divisors (see below), whose sum is σ = 2887620480. Its totient is φ = 287096832.

The previous prime is 1007752861. The next prime is 1007752903. The reversal of 1007752872 is 2782577001.

It is a self number, because there is not a number n which added to its sum of digits gives 1007752872.

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, 50808 + ... + 67800.

It is an arithmetic number, because the mean of its divisors is an integer number (45119070).

Almost surely, 2^1007752872 is an apocalyptic number.

1007752872 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 1007752872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443810240).

1007752872 is an abundant number, since it is smaller than the sum of its proper divisors (1879867608).

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

1007752872 is a wasteful number, since it uses less digits than its factorization.

1007752872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17362 (or 17358 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 1007752872 is about 31745.1235940262. The cubic root of 1007752872 is about 1002.5776407261.

The spelling of 1007752872 in words is "one billion, seven million, seven hundred fifty-two thousand, eight hundred seventy-two".