1523132772 has 144 divisors (see below), whose sum is σ = 4292908032. Its totient is φ = 411681600.

The previous prime is 1523132759. The next prime is 1523132783. The reversal of 1523132772 is 2772313251.

It is a super-2 number, since 2×1523132772² = 4639866882280807968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6709723 + ... + 6709949.

Almost surely, 2^1523132772 is an apocalyptic number.

1523132772 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 1523132772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146454016).

1523132772 is an abundant number, since it is smaller than the sum of its proper divisors (2769775260).

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

1523132772 is a wasteful number, since it uses less digits than its factorization.

1523132772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 413 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 1523132772 is about 39027.3336521982. Note that the first 3 decimals coincide. The cubic root of 1523132772 is about 1150.5687853014.

The spelling of 1523132772 in words is "one billion, five hundred twenty-three million, one hundred thirty-two thousand, seven hundred seventy-two".