1258572672 has 192 divisors, whose sum is σ = 4184325600. Its totient is φ = 355663872.

The previous prime is 1258572629. The next prime is 1258572683. The reversal of 1258572672 is 2762758521.

1258572672 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 572 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781404 + ... + 783012.

Almost surely, 2^1258572672 is an apocalyptic number.

1258572672 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 1258572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092162800).

1258572672 is an abundant number, since it is smaller than the sum of its proper divisors (2925752928).

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

1258572672 is a wasteful number, since it uses less digits than its factorization.

1258572672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1718 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 1258572672 is about 35476.3677960414. The cubic root of 1258572672 is about 1079.6743050824.

The spelling of 1258572672 in words is "one billion, two hundred fifty-eight million, five hundred seventy-two thousand, six hundred seventy-two".