57723000 has 128 divisors (see below), whose sum is σ = 183306240. Its totient is φ = 15120000.

The previous prime is 57722993. The next prime is 57723011. The reversal of 57723000 is 32775.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212865 + ... + 213135.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 2^57723000 is an apocalyptic number.

57723000 is a gapful number since it is divisible by the number (50) 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 57723000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91653120).

57723000 is an abundant number, since it is smaller than the sum of its proper divisors (125583240).

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

57723000 is a wasteful number, since it uses less digits than its factorization.

57723000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 57723000 is about 7597.5653995211. The cubic root of 57723000 is about 386.4704546845.

Adding to 57723000 its reverse (32775), we get a palindrome (57755775).

The spelling of 57723000 in words is "fifty-seven million, seven hundred twenty-three thousand".