1022115072 has 216 divisors, whose sum is σ = 3170881728. Its totient is φ = 291061760.

The previous prime is 1022115067. The next prime is 1022115079. The reversal of 1022115072 is 2705112201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022115079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1579453 + ... + 1580099.

It is an arithmetic number, because the mean of its divisors is an integer number (14680008).

Almost surely, 2^1022115072 is an apocalyptic number.

1022115072 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 1022115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585440864).

1022115072 is an abundant number, since it is smaller than the sum of its proper divisors (2148766656).

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

1022115072 is a wasteful number, since it uses less digits than its factorization.

1022115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 1022115072 is about 31970.5344340691. The cubic root of 1022115072 is about 1007.3180068087.

Adding to 1022115072 its reverse (2705112201), we get a palindrome (3727227273).

It can be divided in two parts, 102 and 2115072, that multiplied together give a square (215737344 = 14688²).

The spelling of 1022115072 in words is "one billion, twenty-two million, one hundred fifteen thousand, seventy-two".