7201471200 has 864 divisors, whose sum is σ = 31419239040. Its totient is φ = 1412812800.

The previous prime is 7201471169. The next prime is 7201471229. The reversal of 7201471200 is 21741027.

It is a super-3 number, since 3×7201471200³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24578254 + ... + 24578546.

It is an arithmetic number, because the mean of its divisors is an integer number (36364860).

Almost surely, 2^7201471200 is an apocalyptic number.

7201471200 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 7201471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15709619520).

7201471200 is an abundant number, since it is smaller than the sum of its proper divisors (24217767840).

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

7201471200 is a wasteful number, since it uses less digits than its factorization.

7201471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 7201471200 is about 84861.4824287203. The cubic root of 7201471200 is about 1931.1102813637.

The spelling of 7201471200 in words is "seven billion, two hundred one million, four hundred seventy-one thousand, two hundred".