1000054272 has 160 divisors (see below), whose sum is σ = 3064875264. Its totient is φ = 283852800.

The previous prime is 1000054271. The next prime is 1000054273. The reversal of 1000054272 is 2724500001.

1000054272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1000054271) and next prime (1000054273).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000054271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3021147 + ... + 3021477.

Almost surely, 2^1000054272 is an apocalyptic number.

1000054272 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 1000054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532437632).

1000054272 is an abundant number, since it is smaller than the sum of its proper divisors (2064820992).

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

1000054272 is an equidigital number, since it uses as much as digits as its factorization.

1000054272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1000054272 is about 31623.6347057071. The cubic root of 1000054272 is about 1000.0180903394.

Adding to 1000054272 its reverse (2724500001), we get a palindrome (3724554273).

The spelling of 1000054272 in words is "one billion, fifty-four thousand, two hundred seventy-two".