7492992 has 128 divisors (see below), whose sum is σ = 22848000. Its totient is φ = 2156544.

The previous prime is 7492943. The next prime is 7493029. The reversal of 7492992 is 2992947.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7492992² = 112289858224128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94809 + ... + 94887.

It is an arithmetic number, because the mean of its divisors is an integer number (178500).

Almost surely, 2^7492992 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 7492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11424000).

7492992 is an abundant number, since it is smaller than the sum of its proper divisors (15355008).

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

7492992 is a wasteful number, since it uses less digits than its factorization.

7492992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 7492992 is about 2737.3330086053. Note that the first 3 decimals coincide. The cubic root of 7492992 is about 195.6823955205.

It can be divided in two parts, 749 and 2992, that added together give a triangular number (3741 = T₈₆).

The spelling of 7492992 in words is "seven million, four hundred ninety-two thousand, nine hundred ninety-two".