57654072 has 128 divisors (see below), whose sum is σ = 193881600. Its totient is φ = 15496704.

The previous prime is 57654067. The next prime is 57654073. The reversal of 57654072 is 27045675.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57654073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24583 + ... + 26825.

It is an arithmetic number, because the mean of its divisors is an integer number (1514700).

Almost surely, 2^57654072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57654072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940800).

57654072 is an abundant number, since it is smaller than the sum of its proper divisors (136227528).

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

57654072 is a wasteful number, since it uses less digits than its factorization.

57654072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 57654072 is about 7593.0278545518. The cubic root of 57654072 is about 386.3165631349.

The spelling of 57654072 in words is "fifty-seven million, six hundred fifty-four thousand, seventy-two".