1058787072 has 288 divisors, whose sum is σ = 3636684800. Its totient is φ = 297603072.

The previous prime is 1058787053. The next prime is 1058787073. The reversal of 1058787072 is 2707878501.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1058787072³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058787073) 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, 3822198 + ... + 3822474.

Almost surely, 2^1058787072 is an apocalyptic number.

1058787072 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 1058787072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818342400).

1058787072 is an abundant number, since it is smaller than the sum of its proper divisors (2577897728).

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

1058787072 is an equidigital number, since it uses as much as digits as its factorization.

1058787072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The square root of 1058787072 is about 32539.0084667619. The cubic root of 1058787072 is about 1019.2237692917.

The spelling of 1058787072 in words is "one billion, fifty-eight million, seven hundred eighty-seven thousand, seventy-two".