63723429 has 80 divisors (see below), whose sum is σ = 125870976. Its totient is φ = 31104000.

The previous prime is 63723391. The next prime is 63723431. The reversal of 63723429 is 92432736.

It is a happy number.

It is not a de Polignac number, because 63723429 - 2⁸ = 63723173 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (54432) is a multiple of the sum of its prime factors (648).

It is a junction number, because it is equal to n+sod(n) for n = 63723393 and 63723402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63723449) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105729 + ... + 106329.

Almost surely, 2^63723429 is an apocalyptic number.

63723429 is the 5049-th heptagonal number.

It is an amenable number.

63723429 is a deficient number, since it is larger than the sum of its proper divisors (62147547).

63723429 is a wasteful number, since it uses less digits than its factorization.

63723429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 639 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 63723429 is about 7982.6955973531. The cubic root of 63723429 is about 399.4229784322.

It can be divided in two parts, 6372 and 3429, that added together give a square (9801 = 99²).

The spelling of 63723429 in words is "sixty-three million, seven hundred twenty-three thousand, four hundred twenty-nine".