72411772014600 has 192 divisors, whose sum is σ = 226204925678400. Its totient is φ = 19161448750080.

The previous prime is 72411772014539. The next prime is 72411772014643. The reversal of 72411772014600 is 641027711427.

It is a happy number.

It is a super-2 number, since 2×72411772014600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70801671 + ... + 71817129.

It is an arithmetic number, because the mean of its divisors is an integer number (1178150654575).

Almost surely, 2^{72411772014600} 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 72411772014600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113102462839200).

72411772014600 is an abundant number, since it is smaller than the sum of its proper divisors (153793153663800).

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

72411772014600 is a wasteful number, since it uses less digits than its factorization.

72411772014600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016392 (or 1016383 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 72411772014600 in words is "seventy-two trillion, four hundred eleven billion, seven hundred seventy-two million, fourteen thousand, six hundred".