7292520760 has 256 divisors, whose sum is σ = 20379340800. Its totient is φ = 2294476800.

The previous prime is 7292520751. The next prime is 7292520791. The reversal of 7292520760 is 670252927.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18746646 + ... + 18747034.

It is an arithmetic number, because the mean of its divisors is an integer number (79606800).

Almost surely, 2^7292520760 is an apocalyptic number.

7292520760 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 7292520760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189670400).

7292520760 is an abundant number, since it is smaller than the sum of its proper divisors (13086820040).

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

7292520760 is a wasteful number, since it uses less digits than its factorization.

7292520760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 7292520760 is about 85396.2572950361. The cubic root of 7292520760 is about 1939.2146855122.

The spelling of 7292520760 in words is "seven billion, two hundred ninety-two million, five hundred twenty thousand, seven hundred sixty".