7201101600 has 864 divisors, whose sum is σ = 32757903360. Its totient is φ = 1444608000.

The previous prime is 7201101577. The next prime is 7201101601. The reversal of 7201101600 is 61011027.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (7201101601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17186191 + ... + 17186609.

It is an arithmetic number, because the mean of its divisors is an integer number (37914240).

Almost surely, 2^7201101600 is an apocalyptic number.

7201101600 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 7201101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378951680).

7201101600 is an abundant number, since it is smaller than the sum of its proper divisors (25556801760).

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

7201101600 is a wasteful number, since it uses less digits than its factorization.

7201101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 7201101600 is about 84859.3047343660. The cubic root of 7201101600 is about 1931.0772441064.

Adding to 7201101600 its reverse (61011027), we get a palindrome (7262112627).

It can be divided in two parts, 7201 and 101600, that added together give a palindrome (108801).

The spelling of 7201101600 in words is "seven billion, two hundred one million, one hundred one thousand, six hundred".