42072072524000 has 96 divisors (see below), whose sum is σ = 104532555909600. Its totient is φ = 16639740902400.

The previous prime is 42072072523979. The next prime is 42072072524081. The reversal of 42072072524000 is 42527027024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58733990 + ... + 59445989.

It is an arithmetic number, because the mean of its divisors is an integer number (1088880790725).

Almost surely, 2^{42072072524000} is an apocalyptic number.

42072072524000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42072072524000 is an abundant number, since it is smaller than the sum of its proper divisors (62460483385600).

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

42072072524000 is a wasteful number, since it uses less digits than its factorization.

42072072524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118180093 (or 118180075 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 35.

The spelling of 42072072524000 in words is "forty-two trillion, seventy-two billion, seventy-two million, five hundred twenty-four thousand".