72091402240 has 512 divisors, whose sum is σ = 216410201280. Its totient is φ = 22649241600.

The previous prime is 72091402219. The next prime is 72091402241. The reversal of 72091402240 is 4220419027.

It is a tau number, because it is divible by the number of its divisors (512).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72091402241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398294950 + ... + 398295130.

Almost surely, 2^72091402240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72091402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108205100640).

72091402240 is an abundant number, since it is smaller than the sum of its proper divisors (144318799040).

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

72091402240 is a wasteful number, since it uses less digits than its factorization.

72091402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 72091402240 in words is "seventy-two billion, ninety-one million, four hundred two thousand, two hundred forty".