7232870400 has 648 divisors, whose sum is σ = 28740855780. Its totient is φ = 1599897600.

The previous prime is 7232870389. The next prime is 7232870413. The reversal of 7232870400 is 40782327.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 233318385 + ... + 233318415.

Almost surely, 2^7232870400 is an apocalyptic number.

7232870400 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 7232870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370427890).

7232870400 is an abundant number, since it is smaller than the sum of its proper divisors (21507985380).

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

7232870400 is a wasteful number, since it uses less digits than its factorization.

7232870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 7232870400 is about 85046.2838694319. The cubic root of 7232870400 is about 1933.9128293236.

Multiplying 7232870400 by its product of nonzero digits (18816), we get a square (136093689446400 = 11665920²).

7232870400 divided by its product of nonzero digits (18816) gives a square (384400 = 620²).

The spelling of 7232870400 in words is "seven billion, two hundred thirty-two million, eight hundred seventy thousand, four hundred".