57296736 has 144 divisors (see below), whose sum is σ = 188776224. Its totient is φ = 16146432.

The previous prime is 57296719. The next prime is 57296741. The reversal of 57296736 is 63769275.

57296736 is a `hidden beast` number, since 572 + 9 + 6 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 57296691 and 57296700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195406 + ... + 195698.

It is an arithmetic number, because the mean of its divisors is an integer number (1310946).

Almost surely, 2^57296736 is an apocalyptic number.

57296736 is a gapful number since it is divisible by the number (56) 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 57296736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94388112).

57296736 is an abundant number, since it is smaller than the sum of its proper divisors (131479488).

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

57296736 is a wasteful number, since it uses less digits than its factorization.

57296736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 57296736 is about 7569.4607469753. The cubic root of 57296736 is about 385.5167873102.

The spelling of 57296736 in words is "fifty-seven million, two hundred ninety-six thousand, seven hundred thirty-six".