1072072752 has 80 divisors (see below), whose sum is σ = 2867911680. Its totient is φ = 344736000.

The previous prime is 1072072741. The next prime is 1072072789. The reversal of 1072072752 is 2572702701.

1072072752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1072072752² = 2298679971161707008, which contains 22 as substring.

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, 563002 + ... + 564902.

It is an arithmetic number, because the mean of its divisors is an integer number (35848896).

Almost surely, 2^1072072752 is an apocalyptic number.

1072072752 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 1072072752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433955840).

1072072752 is an abundant number, since it is smaller than the sum of its proper divisors (1795838928).

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

1072072752 is a wasteful number, since it uses less digits than its factorization.

1072072752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 1072072752 is about 32742.5220775676. The cubic root of 1072072752 is about 1023.4691411418.

The spelling of 1072072752 in words is "one billion, seventy-two million, seventy-two thousand, seven hundred fifty-two".