7273728000 has 1152 divisors, whose sum is σ = 33484389120. Its totient is φ = 1474560000.

The previous prime is 7273727987. The next prime is 7273728013. The reversal of 7273728000 is 8273727.

It is an interprime number because it is at equal distance from previous prime (7273727987) and next prime (7273728013).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177407980 + ... + 177408020.

It is an arithmetic number, because the mean of its divisors is an integer number (29066310).

Almost surely, 2^7273728000 is an apocalyptic number.

7273728000 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 7273728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16742194560).

7273728000 is an abundant number, since it is smaller than the sum of its proper divisors (26210661120).

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

7273728000 is a wasteful number, since it uses less digits than its factorization.

7273728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 7273728000 is about 85286.1536241376. The cubic root of 7273728000 is about 1937.5474729957.

The spelling of 7273728000 in words is "seven billion, two hundred seventy-three million, seven hundred twenty-eight thousand".