72411737347720 has 64 divisors (see below), whose sum is σ = 166049232145920. Its totient is φ = 28409847308544.

The previous prime is 72411737347687. The next prime is 72411737347753. The reversal of 72411737347720 is 2774373711427.

It is an interprime number because it is at equal distance from previous prime (72411737347687) and next prime (72411737347753).

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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, 2210149 + ... + 12235531.

It is an arithmetic number, because the mean of its divisors is an integer number (2594519252280).

Almost surely, 2^{72411737347720} 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 72411737347720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83024616072960).

72411737347720 is an abundant number, since it is smaller than the sum of its proper divisors (93637494798200).

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

72411737347720 is a wasteful number, since it uses less digits than its factorization.

72411737347720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10028854 (or 10028850 counting only the distinct ones).

The product of its (nonzero) digits is 9680832, while the sum is 55.

The spelling of 72411737347720 in words is "seventy-two trillion, four hundred eleven billion, seven hundred thirty-seven million, three hundred forty-seven thousand, seven hundred twenty".