7240761 has 36 divisors (see below), whose sum is σ = 11791780. Its totient is φ = 4276800.

The previous prime is 7240741. The next prime is 7240769. The reversal of 7240761 is 1670427.

It can be written as a sum of positive squares in 2 ways, for example, as 2205225 + 5035536 = 1485^2 + 2244^2 .

It is not a de Polignac number, because 7240761 - 2¹³ = 7232569 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7240769) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66375 + ... + 66483.

Almost surely, 2^7240761 is an apocalyptic number.

It is an amenable number.

7240761 is a deficient number, since it is larger than the sum of its proper divisors (4551019).

7240761 is a wasteful number, since it uses less digits than its factorization.

7240761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7240761 is about 2690.8662174103. The cubic root of 7240761 is about 193.4615832233.

It can be divided in two parts, 7240 and 761, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7240761 in words is "seven million, two hundred forty thousand, seven hundred sixty-one".