72420400142712 has 24 divisors (see below), whose sum is σ = 196138583720040. Its totient is φ = 24140133380880.

The previous prime is 72420400142711. The next prime is 72420400142743. The reversal of 72420400142712 is 21724100402427.

72420400142712 is a `hidden beast` number, since 7 + 2 + 42 + 0 + 400 + 142 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72420400142711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 502919445364 + ... + 502919445507.

It is an arithmetic number, because the mean of its divisors is an integer number (8172440988335).

Almost surely, 2^{72420400142712} is an apocalyptic number.

72420400142712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72420400142712 is an abundant number, since it is smaller than the sum of its proper divisors (123718183577328).

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

72420400142712 is a wasteful number, since it uses less digits than its factorization.

72420400142712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005838890883 (or 1005838890876 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 72420400142712 in words is "seventy-two trillion, four hundred twenty billion, four hundred million, one hundred forty-two thousand, seven hundred twelve".