72416765070 has 256 divisors, whose sum is σ = 227797920000. Its totient is φ = 16198189056.

The previous prime is 72416765059. The next prime is 72416765077. The reversal of 72416765070 is 7056761427.

72416765070 is a `hidden beast` number, since 72 + 4 + 1 + 6 + 76 + 507 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416765077) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1709506 + ... + 1751354.

It is an arithmetic number, because the mean of its divisors is an integer number (889835625).

Almost surely, 2^72416765070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72416765070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113898960000).

72416765070 is an abundant number, since it is smaller than the sum of its proper divisors (155381154930).

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

72416765070 is a wasteful number, since it uses less digits than its factorization.

72416765070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41924 (or 41918 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 72416765070 in words is "seventy-two billion, four hundred sixteen million, seven hundred sixty-five thousand, seventy".