7212038400 has 648 divisors, whose sum is σ = 30471494144. Its totient is φ = 1592524800.

The previous prime is 7212038387. The next prime is 7212038417. The reversal of 7212038400 is 48302127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12498912 + ... + 12499488.

Almost surely, 2^7212038400 is an apocalyptic number.

7212038400 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 7212038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15235747072).

7212038400 is an abundant number, since it is smaller than the sum of its proper divisors (23259455744).

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

7212038400 is a wasteful number, since it uses less digits than its factorization.

7212038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7212038400 is about 84923.7210677912. The cubic root of 7212038400 is about 1932.0543688003.

The spelling of 7212038400 in words is "seven billion, two hundred twelve million, thirty-eight thousand, four hundred".