7279272000 has 1344 divisors, whose sum is σ = 35307836928. Its totient is φ = 1382400000.

The previous prime is 7279271983. The next prime is 7279272019. The reversal of 7279272000 is 2729727.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 72071950 + ... + 72072050.

It is an arithmetic number, because the mean of its divisors is an integer number (26270712).

Almost surely, 2^7279272000 is an apocalyptic number.

7279272000 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 7279272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17653918464).

7279272000 is an abundant number, since it is smaller than the sum of its proper divisors (28028564928).

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

7279272000 is a wasteful number, since it uses less digits than its factorization.

7279272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 7279272000 is about 85318.6497783456. The cubic root of 7279272000 is about 1938.0396110592.

It can be divided in two parts, 727927 and 2000, that added together give a palindrome (729927).

The spelling of 7279272000 in words is "seven billion, two hundred seventy-nine million, two hundred seventy-two thousand".