123957792 has 72 divisors (see below), whose sum is σ = 402869376. Its totient is φ = 35415936.

The previous prime is 123957781. The next prime is 123957797. The reversal of 123957792 is 297759321.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (123957797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28728 + ... + 32759.

It is an arithmetic number, because the mean of its divisors is an integer number (5595408).

Almost surely, 2^123957792 is an apocalyptic number.

123957792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123957792 is an abundant number, since it is smaller than the sum of its proper divisors (278911584).

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

123957792 is a wasteful number, since it uses less digits than its factorization.

123957792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61510 (or 61499 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 123957792 is about 11133.6333692106. The cubic root of 123957792 is about 498.6065093086.

The spelling of 123957792 in words is "one hundred twenty-three million, nine hundred fifty-seven thousand, seven hundred ninety-two".