7292862720 has 864 divisors, whose sum is σ = 31337953920. Its totient is φ = 1539440640.

The previous prime is 7292862697. The next prime is 7292862721. The reversal of 7292862720 is 272682927.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7292862721) 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, 31299724 + ... + 31299956.

It is an arithmetic number, because the mean of its divisors is an integer number (36270780).

Almost surely, 2^7292862720 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 7292862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668976960).

7292862720 is an abundant number, since it is smaller than the sum of its proper divisors (24045091200).

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

7292862720 is a wasteful number, since it uses less digits than its factorization.

7292862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7292862720 is about 85398.2594670407. The cubic root of 7292862720 is about 1939.2449961784.

The spelling of 7292862720 in words is "seven billion, two hundred ninety-two million, eight hundred sixty-two thousand, seven hundred twenty".