1187080272 has 420 divisors, whose sum is σ = 4202576256. Its totient is φ = 323326080.

The previous prime is 1187080261. The next prime is 1187080291. The reversal of 1187080272 is 2720807811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 17717583 + ... + 17717649.

Almost surely, 2^1187080272 is an apocalyptic number.

1187080272 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 1187080272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101288128).

1187080272 is an abundant number, since it is smaller than the sum of its proper divisors (3015495984).

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

1187080272 is an equidigital number, since it uses as much as digits as its factorization.

1187080272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1187080272 is about 34454.0312880801. The cubic root of 1187080272 is about 1058.8311168868.

The spelling of 1187080272 in words is "one billion, one hundred eighty-seven million, eighty thousand, two hundred seventy-two".