1054188072 has 192 divisors, whose sum is σ = 3428904960. Its totient is φ = 286070400.

The previous prime is 1054188061. The next prime is 1054188137. The reversal of 1054188072 is 2708814501.

1054188072 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 2×1054188072² = 2222624982294154368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2445697 + ... + 2446127.

It is an arithmetic number, because the mean of its divisors is an integer number (17858880).

Almost surely, 2^1054188072 is an apocalyptic number.

1054188072 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 1054188072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714452480).

1054188072 is an abundant number, since it is smaller than the sum of its proper divisors (2374716888).

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

1054188072 is a wasteful number, since it uses less digits than its factorization.

1054188072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1054188072 is about 32468.2625343581. The cubic root of 1054188072 is about 1017.7459104957.

The spelling of 1054188072 in words is "one billion, fifty-four million, one hundred eighty-eight thousand, seventy-two".