7452106272 has 192 divisors, whose sum is σ = 23699128320. Its totient is φ = 2292675840.

The previous prime is 7452106243. The next prime is 7452106301. The reversal of 7452106272 is 2726012547.

It is a happy number.

7452106272 is a `hidden beast` number, since 7 + 4 + 5 + 21 + 0 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7452106243) and next prime (7452106301).

It is a super-3 number, since 3×7452106272³ (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 905697 + ... + 913887.

It is an arithmetic number, because the mean of its divisors is an integer number (123432960).

Almost surely, 2^7452106272 is an apocalyptic number.

7452106272 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 7452106272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11849564160).

7452106272 is an abundant number, since it is smaller than the sum of its proper divisors (16247022048).

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

7452106272 is an equidigital number, since it uses as much as digits as its factorization.

7452106272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8209 counting only the distinct ones).

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

The square root of 7452106272 is about 86325.5829519847. The cubic root of 7452106272 is about 1953.2583064236.

The spelling of 7452106272 in words is "seven billion, four hundred fifty-two million, one hundred six thousand, two hundred seventy-two".