1005625272 has 32 divisors (see below), whose sum is σ = 2515063680. Its totient is φ = 335075040.

The previous prime is 1005625223. The next prime is 1005625273. The reversal of 1005625272 is 2725265001.

It is a super-2 number, since 2×1005625272² = 2022564375370147968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005625273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67197 + ... + 80787.

It is an arithmetic number, because the mean of its divisors is an integer number (78595740).

Almost surely, 2^1005625272 is an apocalyptic number.

1005625272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005625272 is an abundant number, since it is smaller than the sum of its proper divisors (1509438408).

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

1005625272 is a wasteful number, since it uses less digits than its factorization.

1005625272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16683 (or 16679 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 1005625272 is about 31711.5952295056. The cubic root of 1005625272 is about 1001.8715856485.

The spelling of 1005625272 in words is "one billion, five million, six hundred twenty-five thousand, two hundred seventy-two".