7213752000 has 896 divisors, whose sum is σ = 32662855680. Its totient is φ = 1517875200.

The previous prime is 7213751989. The next prime is 7213752017. The reversal of 7213752000 is 2573127.

7213752000 is a `hidden beast` number, since 7 + 2 + 137 + 520 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19655817 + ... + 19656183.

It is an arithmetic number, because the mean of its divisors is an integer number (36454080).

Almost surely, 2^7213752000 is an apocalyptic number.

7213752000 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 7213752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331427840).

7213752000 is an abundant number, since it is smaller than the sum of its proper divisors (25449103680).

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

7213752000 is a wasteful number, since it uses less digits than its factorization.

7213752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 7213752000 is about 84933.8095224746. The cubic root of 7213752000 is about 1932.2073771456.

The spelling of 7213752000 in words is "seven billion, two hundred thirteen million, seven hundred fifty-two thousand".