1587138072 has 64 divisors (see below), whose sum is σ = 4282682880. Its totient is φ = 487251072.

The previous prime is 1587138043. The next prime is 1587138073. The reversal of 1587138072 is 2708317851.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1587138073) 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, 138963 + ... + 149949.

It is an arithmetic number, because the mean of its divisors is an integer number (66916920).

Almost surely, 2^1587138072 is an apocalyptic number.

1587138072 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 1587138072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141341440).

1587138072 is an abundant number, since it is smaller than the sum of its proper divisors (2695544808).

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

1587138072 is a wasteful number, since it uses less digits than its factorization.

1587138072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11472 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 1587138072 is about 39838.9014908795. The cubic root of 1587138072 is about 1166.4646175634.

The spelling of 1587138072 in words is "one billion, five hundred eighty-seven million, one hundred thirty-eight thousand, seventy-two".