7296817152 has 96 divisors (see below), whose sum is σ = 20477620800. Its totient is φ = 2304221184.

The previous prime is 7296817147. The next prime is 7296817217. The reversal of 7296817152 is 2517186927.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7296817152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85483 + ... + 147989.

It is an arithmetic number, because the mean of its divisors is an integer number (213308550).

Almost surely, 2^7296817152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7296817152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10238810400).

7296817152 is an abundant number, since it is smaller than the sum of its proper divisors (13180803648).

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

7296817152 is a wasteful number, since it uses less digits than its factorization.

7296817152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62551 (or 62531 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The square root of 7296817152 is about 85421.4092133816. The cubic root of 7296817152 is about 1939.5954404928.

The spelling of 7296817152 in words is "seven billion, two hundred ninety-six million, eight hundred seventeen thousand, one hundred fifty-two".