72406629 has 40 divisors (see below), whose sum is σ = 111804000. Its totient is φ = 46679328.

The previous prime is 72406613. The next prime is 72406643. The reversal of 72406629 is 92660427.

It is a happy number.

72406629 is a `hidden beast` number, since 7 + 24 + 0 + 6 + 629 = 666.

It is not a de Polignac number, because 72406629 - 2⁴ = 72406613 is a prime.

It is a super-4 number, since 4×72406629⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72406593 and 72406602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72406679) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 520842 + ... + 520980.

It is an arithmetic number, because the mean of its divisors is an integer number (2795100).

Almost surely, 2^72406629 is an apocalyptic number.

It is an amenable number.

72406629 is a deficient number, since it is larger than the sum of its proper divisors (39397371).

72406629 is a wasteful number, since it uses less digits than its factorization.

72406629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 72406629 is about 8509.2084825793. The cubic root of 72406629 is about 416.7984637642.

The spelling of 72406629 in words is "seventy-two million, four hundred six thousand, six hundred twenty-nine".