72421904880 has 240 divisors, whose sum is σ = 270376194816. Its totient is φ = 17251799040.

The previous prime is 72421904837. The next prime is 72421904887. The reversal of 72421904880 is 8840912427.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72421904887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165364 + ... + 414956.

Almost surely, 2^72421904880 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 72421904880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135188097408).

72421904880 is an abundant number, since it is smaller than the sum of its proper divisors (197954289936).

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

72421904880 is a wasteful number, since it uses less digits than its factorization.

72421904880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249656 (or 249647 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 72421904880 in words is "seventy-two billion, four hundred twenty-one million, nine hundred four thousand, eight hundred eighty".