72449191390464 has 432 divisors, whose sum is σ = 249257867644800. Its totient is φ = 20696938020864.

The previous prime is 72449191390463. The next prime is 72449191390531. The reversal of 72449191390464 is 46409319194427.

72449191390464 is a `hidden beast` number, since 7 + 2 + 4 + 491 + 9 + 13 + 90 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72449191390463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4866600429 + ... + 4866615315.

Almost surely, 2^{72449191390464} 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 72449191390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124628933822400).

72449191390464 is an abundant number, since it is smaller than the sum of its proper divisors (176808676254336).

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

72449191390464 is a wasteful number, since it uses less digits than its factorization.

72449191390464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29295 (or 29268 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 72449191390464 in words is "seventy-two trillion, four hundred forty-nine billion, one hundred ninety-one million, three hundred ninety thousand, four hundred sixty-four".