7392960 has 168 divisors, whose sum is σ = 27102816. Its totient is φ = 1843200.

The previous prime is 7392953. The next prime is 7392967. The reversal of 7392960 is 692937.

It is a Cunningham number, because it is equal to 2719²-1.

It is an interprime number because it is at equal distance from previous prime (7392953) and next prime (7392967).

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 (7392967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48885 + ... + 49035.

Almost surely, 2^7392960 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 7392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551408).

7392960 is an abundant number, since it is smaller than the sum of its proper divisors (19709856).

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

7392960 is a wasteful number, since it uses less digits than its factorization.

7392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 7392960 is about 2718.9998161089. Note that the first 3 decimals coincide. The cubic root of 7392960 is about 194.8076999712.

The spelling of 7392960 in words is "seven million, three hundred ninety-two thousand, nine hundred sixty".