72211563840 has 168 divisors, whose sum is σ = 248265196128. Its totient is φ = 17775114240.

The previous prime is 72211563839. The next prime is 72211563841. The reversal of 72211563840 is 4836511227.

It is an interprime number because it is at equal distance from previous prime (72211563839) and next prime (72211563841).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72211563841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60306 + ... + 384785.

Almost surely, 2^72211563840 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 72211563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124132598064).

72211563840 is an abundant number, since it is smaller than the sum of its proper divisors (176053632288).

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

72211563840 is a wasteful number, since it uses less digits than its factorization.

72211563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445137 (or 445114 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 72211563840 in words is "seventy-two billion, two hundred eleven million, five hundred sixty-three thousand, eight hundred forty".