7463729 has 12 divisors (see below), whose sum is σ = 9350964. Its totient is φ = 5904864.

The previous prime is 7463723. The next prime is 7463737. The reversal of 7463729 is 9273647.

7463729 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 388129 + 7075600 = 623^2 + 2660^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7463729 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7463692 and 7463701.

It is not an unprimeable number, because it can be changed into a prime (7463723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5222 + ... + 6495.

It is an arithmetic number, because the mean of its divisors is an integer number (779247).

Almost surely, 2^7463729 is an apocalyptic number.

It is an amenable number.

7463729 is a deficient number, since it is larger than the sum of its proper divisors (1887235).

7463729 is a wasteful number, since it uses less digits than its factorization.

7463729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11744 (or 11737 counting only the distinct ones).

The product of its digits is 63504, while the sum is 38.

The square root of 7463729 is about 2731.9826134147. The cubic root of 7463729 is about 195.4273249799.

It can be divided in two parts, 7463 and 729, that added together give a 13-th power (8192 = 2¹³).

The spelling of 7463729 in words is "seven million, four hundred sixty-three thousand, seven hundred twenty-nine".