72411737647242 has 128 divisors (see below), whose sum is σ = 170606601285120. Its totient is φ = 20056476303360.

The previous prime is 72411737647181. The next prime is 72411737647247. The reversal of 72411737647242 is 24274673711427.

It is not an unprimeable number, because it can be changed into a prime (72411737647247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 779739892 + ... + 779832752.

It is an arithmetic number, because the mean of its divisors is an integer number (1332864072540).

Almost surely, 2^{72411737647242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72411737647242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85303300642560).

72411737647242 is an abundant number, since it is smaller than the sum of its proper divisors (98194863637878).

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

72411737647242 is a wasteful number, since it uses less digits than its factorization.

72411737647242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94736.

The product of its digits is 22127616, while the sum is 57.

The spelling of 72411737647242 in words is "seventy-two trillion, four hundred eleven billion, seven hundred thirty-seven million, six hundred forty-seven thousand, two hundred forty-two".