7200872640 has 336 divisors, whose sum is σ = 27329623776. Its totient is φ = 1728921600.

The previous prime is 7200872557. The next prime is 7200872659. The reversal of 7200872640 is 462780027.

7200872640 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 8 + 7 + 2 + 640 = 666.

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 = 7200872595 and 7200872604.

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, 1532695 + ... + 1537385.

It is an arithmetic number, because the mean of its divisors is an integer number (81338166).

Almost surely, 2^7200872640 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 7200872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13664811888).

7200872640 is an abundant number, since it is smaller than the sum of its proper divisors (20128751136).

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

7200872640 is a wasteful number, since it uses less digits than its factorization.

7200872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7200872640 is about 84857.9556671029. The cubic root of 7200872640 is about 1931.0567776021.

The spelling of 7200872640 in words is "seven billion, two hundred million, eight hundred seventy-two thousand, six hundred forty".