42250608072 has 128 divisors (see below), whose sum is σ = 119264400000. Its totient is φ = 13857147648.

The previous prime is 42250608061. The next prime is 42250608089. The reversal of 42250608072 is 27080605224.

42250608072 is a `hidden beast` number, since 4 + 2 + 2 + 506 + 0 + 80 + 72 = 666.

42250608072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42250608072² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3437554 + ... + 3449822.

It is an arithmetic number, because the mean of its divisors is an integer number (931753125).

Almost surely, 2^42250608072 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 42250608072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59632200000).

42250608072 is an abundant number, since it is smaller than the sum of its proper divisors (77013791928).

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

42250608072 is a wasteful number, since it uses less digits than its factorization.

42250608072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12540 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42250608072 in words is "forty-two billion, two hundred fifty million, six hundred eight thousand, seventy-two".