42759552 has 128 divisors (see below), whose sum is σ = 126904320. Its totient is φ = 12646400.

The previous prime is 42759533. The next prime is 42759559. The reversal of 42759552 is 25595724.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 42759552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42759559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223777 + ... + 223967.

It is an arithmetic number, because the mean of its divisors is an integer number (991440).

Almost surely, 2^42759552 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 42759552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63452160).

42759552 is an abundant number, since it is smaller than the sum of its proper divisors (84144768).

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

42759552 is a wasteful number, since it uses less digits than its factorization.

42759552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 42759552 is about 6539.0788342090. The cubic root of 42759552 is about 349.6855733981.

The spelling of 42759552 in words is "forty-two million, seven hundred fifty-nine thousand, five hundred fifty-two".