72026398080 has 384 divisors, whose sum is σ = 306114419520. Its totient is φ = 15196667904.

The previous prime is 72026398069. The next prime is 72026398127. The reversal of 72026398080 is 8089362027.

72026398080 is a `hidden beast` number, since 7 + 2 + 0 + 2 + 639 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 455454 + ... + 592866.

Almost surely, 2^72026398080 is an apocalyptic number.

72026398080 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 72026398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153057209760).

72026398080 is an abundant number, since it is smaller than the sum of its proper divisors (234088021440).

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

72026398080 is a wasteful number, since it uses less digits than its factorization.

72026398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137458 (or 137443 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 72026398080 in words is "seventy-two billion, twenty-six million, three hundred ninety-eight thousand, eighty".