7205207040 has 176 divisors, whose sum is σ = 25606496160. Its totient is φ = 1921351680.

The previous prime is 7205207029. The next prime is 7205207063. The reversal of 7205207040 is 407025027.

7205207040 is a `hidden beast` number, since 72 + 0 + 520 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7205206995 and 7205207013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112180 + ... + 164300.

Almost surely, 2^7205207040 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 7205207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12803248080).

7205207040 is an abundant number, since it is smaller than the sum of its proper divisors (18401289120).

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

7205207040 is a wasteful number, since it uses less digits than its factorization.

7205207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52155 (or 52131 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 7205207040 is about 84883.4909743938. The cubic root of 7205207040 is about 1931.4441516564. Note that the first 3 decimals are identical.

The spelling of 7205207040 in words is "seven billion, two hundred five million, two hundred seven thousand, forty".