42724405306572 has 144 divisors (see below), whose sum is σ = 110082768961536. Its totient is φ = 12887046128000.

The previous prime is 42724405306507. The next prime is 42724405306579. The reversal of 42724405306572 is 27560350442724.

It is not an unprimeable number, because it can be changed into a prime (42724405306579) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2024746822 + ... + 2024767922.

It is an arithmetic number, because the mean of its divisors is an integer number (764463673344).

Almost surely, 2^{42724405306572} 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 42724405306572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55041384480768).

42724405306572 is an abundant number, since it is smaller than the sum of its proper divisors (67358363654964).

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

42724405306572 is a wasteful number, since it uses less digits than its factorization.

42724405306572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27500 (or 27487 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 51.

The spelling of 42724405306572 in words is "forty-two trillion, seven hundred twenty-four billion, four hundred five million, three hundred six thousand, five hundred seventy-two".