7421056272 has 480 divisors, whose sum is σ = 26272604160. Its totient is φ = 1996565760.

The previous prime is 7421056261. The next prime is 7421056277. The reversal of 7421056272 is 2726501247.

It is a happy number.

7421056272 is a `hidden beast` number, since 7 + 4 + 21 + 0 + 5 + 627 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7421056277) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28216813 + ... + 28217075.

It is an arithmetic number, because the mean of its divisors is an integer number (54734592).

Almost surely, 2^7421056272 is an apocalyptic number.

7421056272 is a gapful number since it is divisible by the number (72) 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 7421056272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13136302080).

7421056272 is an abundant number, since it is smaller than the sum of its proper divisors (18851547888).

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

7421056272 is a wasteful number, since it uses less digits than its factorization.

7421056272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7421056272 is about 86145.5528277577. The cubic root of 7421056272 is about 1950.5417098541.

The spelling of 7421056272 in words is "seven billion, four hundred twenty-one million, fifty-six thousand, two hundred seventy-two".