72049812480 has 528 divisors, whose sum is σ = 256210282224. Its totient is φ = 18717081600.

The previous prime is 72049812389. The next prime is 72049812559. The reversal of 72049812480 is 8421894027.

72049812480 is a `hidden beast` number, since 72 + 0 + 4 + 98 + 12 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 260112384 + 71789700096 = 16128^2 + 267936^2 .

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 47 ways as a sum of consecutive naturals, for example, 525910972 + ... + 525911108.

Almost surely, 2^72049812480 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 72049812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128105141112).

72049812480 is an abundant number, since it is smaller than the sum of its proper divisors (184160469744).

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

72049812480 is a wasteful number, since it uses less digits than its factorization.

72049812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 361 counting only the distinct ones).

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

The spelling of 72049812480 in words is "seventy-two billion, forty-nine million, eight hundred twelve thousand, four hundred eighty".