542520000072 has 64 divisors (see below), whose sum is σ = 1509344088000. Its totient is φ = 180558709632.

The previous prime is 542520000017. The next prime is 542520000097. The reversal of 542520000072 is 270000025245.

542520000072 is a `hidden beast` number, since 542 + 52 + 0 + 0 + 0 + 0 + 0 + 72 = 666.

542520000072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1814197 + ... + 2091972.

It is an arithmetic number, because the mean of its divisors is an integer number (23583501375).

Almost surely, 2^542520000072 is an apocalyptic number.

It is an amenable number.

542520000072 is an abundant number, since it is smaller than the sum of its proper divisors (966824087928).

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

542520000072 is a wasteful number, since it uses less digits than its factorization.

542520000072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906827 (or 3906817 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The spelling of 542520000072 in words is "five hundred forty-two billion, five hundred twenty million, seventy-two", and thus it is an aban number.