7420723200 has 720 divisors, whose sum is σ = 30229523520. Its totient is φ = 1769472000.

The previous prime is 7420723153. The next prime is 7420723217. The reversal of 7420723200 is 23270247.

7420723200 is a `hidden beast` number, since 7 + 420 + 7 + 232 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×7420723200² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 121651170 + ... + 121651230.

Almost surely, 2^7420723200 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 7420723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15114761760).

7420723200 is an abundant number, since it is smaller than the sum of its proper divisors (22808800320).

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

7420723200 is a wasteful number, since it uses less digits than its factorization.

7420723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 7420723200 is about 86143.6196128303. The cubic root of 7420723200 is about 1950.5125279999.

Adding to 7420723200 its reverse (23270247), we get a palindrome (7443993447).

The spelling of 7420723200 in words is "seven billion, four hundred twenty million, seven hundred twenty-three thousand, two hundred".