72068451840 has 960 divisors, whose sum is σ = 321839400960. Its totient is φ = 14963097600.

The previous prime is 72068451823. The next prime is 72068451859. The reversal of 72068451840 is 4815486027.

72068451840 is a `hidden beast` number, since 72 + 0 + 68 + 4 + 518 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×72068451840² (a number of 23 digits) contains 22 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 95 ways as a sum of consecutive naturals, for example, 58544025 + ... + 58545255.

It is an arithmetic number, because the mean of its divisors is an integer number (335249376).

Almost surely, 2^72068451840 is an apocalyptic number.

72068451840 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 72068451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160919700480).

72068451840 is an abundant number, since it is smaller than the sum of its proper divisors (249770949120).

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

72068451840 is a wasteful number, since it uses less digits than its factorization.

72068451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 72068451840 in words is "seventy-two billion, sixty-eight million, four hundred fifty-one thousand, eight hundred forty".