1265757672 has 32 divisors (see below), whose sum is σ = 3165295680. Its totient is φ = 421799040.

The previous prime is 1265757641. The next prime is 1265757673. The reversal of 1265757672 is 2767575621.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1265757673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129468 + ... + 138900.

It is an arithmetic number, because the mean of its divisors is an integer number (98915490).

Almost surely, 2^1265757672 is an apocalyptic number.

1265757672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1265757672 is an abundant number, since it is smaller than the sum of its proper divisors (1899538008).

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

1265757672 is a wasteful number, since it uses less digits than its factorization.

1265757672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15033 (or 15029 counting only the distinct ones).

The product of its digits is 1234800, while the sum is 48.

The square root of 1265757672 is about 35577.4882755936. The cubic root of 1265757672 is about 1081.7249731773.

The spelling of 1265757672 in words is "one billion, two hundred sixty-five million, seven hundred fifty-seven thousand, six hundred seventy-two".