72000042 has 24 divisors (see below), whose sum is σ = 148807008. Its totient is φ = 23223960.

The previous prime is 72000007. The next prime is 72000053. The reversal of 72000042 is 24000027.

It is a junction number, because it is equal to n+sod(n) for n = 71999985 and 72000030.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478 + ... + 12009.

It is an arithmetic number, because the mean of its divisors is an integer number (6200292).

Almost surely, 2^72000042 is an apocalyptic number.

72000042 is an abundant number, since it is smaller than the sum of its proper divisors (76806966).

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

72000042 is a wasteful number, since it uses less digits than its factorization.

72000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12554 (or 12523 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 72000042 is about 8485.2838491119. The cubic root of 72000042 is about 416.0168455025.

Subtracting from 72000042 its sum of digits (15), we obtain a palindrome (72000027).

Adding to 72000042 its reverse (24000027), we get a palindrome (96000069).

The spelling of 72000042 in words is "seventy-two million, forty-two", and thus it is an aban number and an uban number.