1135572672 has 112 divisors (see below), whose sum is σ = 3245319392. Its totient is φ = 348364800.

The previous prime is 1135572653. The next prime is 1135572673. The reversal of 1135572672 is 2762755311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1135572672.

It is not an unprimeable number, because it can be changed into a prime (1135572673) 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, 1499718 + ... + 1500474.

It is an arithmetic number, because the mean of its divisors is an integer number (28976066).

Almost surely, 2^1135572672 is an apocalyptic number.

1135572672 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 1135572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622659696).

1135572672 is an abundant number, since it is smaller than the sum of its proper divisors (2109746720).

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

1135572672 is a wasteful number, since it uses less digits than its factorization.

1135572672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1376 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 1135572672 is about 33698.2591835246. The cubic root of 1135572672 is about 1043.2898386692.

The spelling of 1135572672 in words is "one billion, one hundred thirty-five million, five hundred seventy-two thousand, six hundred seventy-two".