1072822752 has 192 divisors, whose sum is σ = 3309465600. Its totient is φ = 337559040.

The previous prime is 1072822727. The next prime is 1072822753. The reversal of 1072822752 is 2572282701.

1072822752 is a `hidden beast` number, since 107 + 282 + 275 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072822753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177177 + ... + 1178087.

It is an arithmetic number, because the mean of its divisors is an integer number (17236800).

Almost surely, 2^1072822752 is an apocalyptic number.

1072822752 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 1072822752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654732800).

1072822752 is an abundant number, since it is smaller than the sum of its proper divisors (2236642848).

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

1072822752 is a wasteful number, since it uses less digits than its factorization.

1072822752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1072822752 is about 32753.9730719801. The cubic root of 1072822752 is about 1023.7077514801.

The spelling of 1072822752 in words is "one billion, seventy-two million, eight hundred twenty-two thousand, seven hundred fifty-two".