72469629 has 48 divisors (see below), whose sum is σ = 115015680. Its totient is φ = 43817760.

The previous prime is 72469613. The next prime is 72469693. The reversal of 72469629 is 92696427.

It is not a de Polignac number, because 72469629 - 2⁴ = 72469613 is a prime.

It is a Smith number, since the sum of its digits (45) 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 (72469609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570564 + ... + 570690.

It is an arithmetic number, because the mean of its divisors is an integer number (2396160).

Almost surely, 2^72469629 is an apocalyptic number.

It is an amenable number.

72469629 is a deficient number, since it is larger than the sum of its proper divisors (42546051).

72469629 is a wasteful number, since it uses less digits than its factorization.

72469629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 72469629 is about 8512.9095496193. The cubic root of 72469629 is about 416.9193122353.

The spelling of 72469629 in words is "seventy-two million, four hundred sixty-nine thousand, six hundred twenty-nine".