1137408072 has 64 divisors (see below), whose sum is σ = 2983132800. Its totient is φ = 360890880.

The previous prime is 1137408059. The next prime is 1137408079. The reversal of 1137408072 is 2708047311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1137408079) 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, 37908 + ... + 60924.

It is an arithmetic number, because the mean of its divisors is an integer number (46611450).

Almost surely, 2^1137408072 is an apocalyptic number.

1137408072 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 1137408072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491566400).

1137408072 is an abundant number, since it is smaller than the sum of its proper divisors (1845724728).

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

1137408072 is a wasteful number, since it uses less digits than its factorization.

1137408072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23126 (or 23122 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1137408072 is about 33725.4810492008. The cubic root of 1137408072 is about 1043.8516179070.

The spelling of 1137408072 in words is "one billion, one hundred thirty-seven million, four hundred eight thousand, seventy-two".