1137007872 has 864 divisors, whose sum is σ = 4821223680. Its totient is φ = 247726080.

The previous prime is 1137007813. The next prime is 1137007877. The reversal of 1137007872 is 2787007311.

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 not an unprimeable number, because it can be changed into a prime (1137007877) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39207154 + ... + 39207182.

It is an arithmetic number, because the mean of its divisors is an integer number (5580120).

Almost surely, 2^1137007872 is an apocalyptic number.

1137007872 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 1137007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410611840).

1137007872 is an abundant number, since it is smaller than the sum of its proper divisors (3684215808).

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

1137007872 is a wasteful number, since it uses less digits than its factorization.

1137007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 1137007872 is about 33719.5473279224. The cubic root of 1137007872 is about 1043.7291762396.

The spelling of 1137007872 in words is "one billion, one hundred thirty-seven million, seven thousand, eight hundred seventy-two".