72207505440 has 648 divisors, whose sum is σ = 304576884612. Its totient is φ = 15529328640.

The previous prime is 72207505421. The next prime is 72207505471. The reversal of 72207505440 is 4450570227.

It is a happy number.

72207505440 is a `hidden beast` number, since 7 + 2 + 207 + 5 + 0 + 5 + 440 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 49065794064 + 23141711376 = 221508^2 + 152124^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72207505395 and 72207505404.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20390070 + ... + 20393610.

Almost surely, 2^72207505440 is an apocalyptic number.

72207505440 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 72207505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152288442306).

72207505440 is an abundant number, since it is smaller than the sum of its proper divisors (232369379172).

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

72207505440 is a wasteful number, since it uses less digits than its factorization.

72207505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 72207505440 in words is "seventy-two billion, two hundred seven million, five hundred five thousand, four hundred forty".