72061799040 has 960 divisors, whose sum is σ = 326702613600. Its totient is φ = 14968074240.

The previous prime is 72061799027. The next prime is 72061799071. The reversal of 72061799040 is 4099716027.

72061799040 is a `hidden beast` number, since 7 + 20 + 617 + 9 + 9 + 0 + 4 + 0 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27940471 + ... + 27943049.

Almost surely, 2^72061799040 is an apocalyptic number.

72061799040 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 72061799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163351306800).

72061799040 is an abundant number, since it is smaller than the sum of its proper divisors (254640814560).

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

72061799040 is a wasteful number, since it uses less digits than its factorization.

72061799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 72061799040 in words is "seventy-two billion, sixty-one million, seven hundred ninety-nine thousand, forty".