1255752072 has 112 divisors (see below), whose sum is σ = 3551353740. Its totient is φ = 416078208.

The previous prime is 1255752067. The next prime is 1255752083. The reversal of 1255752072 is 2702575521.

1255752072 is a `hidden beast` number, since 12 + 5 + 57 + 520 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 791521956 + 464230116 = 28134^2 + 21546^2 .

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 27 ways as a sum of consecutive naturals, for example, 1148358 + ... + 1149450.

Almost surely, 2^1255752072 is an apocalyptic number.

1255752072 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 1255752072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775676870).

1255752072 is an abundant number, since it is smaller than the sum of its proper divisors (2295601668).

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

1255752072 is a wasteful number, since it uses less digits than its factorization.

1255752072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 1255752072 is about 35436.5922740887. The cubic root of 1255752072 is about 1078.8671454531.

The spelling of 1255752072 in words is "one billion, two hundred fifty-five million, seven hundred fifty-two thousand, seventy-two".