72419326560 has 504 divisors, whose sum is σ = 298422786816. Its totient is φ = 16551682560.

The previous prime is 72419326429. The next prime is 72419326627. The reversal of 72419326560 is 6562391427.

72419326560 is a `hidden beast` number, since 7 + 241 + 93 + 265 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×72419326560³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5709025 + ... + 5721695.

It is an arithmetic number, because the mean of its divisors is an integer number (592108704).

Almost surely, 2^72419326560 is an apocalyptic number.

72419326560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72419326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149211393408).

72419326560 is an abundant number, since it is smaller than the sum of its proper divisors (226003460256).

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

72419326560 is a wasteful number, since it uses less digits than its factorization.

72419326560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12718 (or 12688 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 72419326560 in words is "seventy-two billion, four hundred nineteen million, three hundred twenty-six thousand, five hundred sixty".