72629820 has 36 divisors (see below), whose sum is σ = 220311000. Its totient is φ = 19367904.

The previous prime is 72629783. The next prime is 72629827. The reversal of 72629820 is 2892627.

72629820 is a `hidden beast` number, since 7 + 2 + 629 + 8 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72629827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201570 + ... + 201929.

It is an arithmetic number, because the mean of its divisors is an integer number (6119750).

Almost surely, 2^72629820 is an apocalyptic number.

It is an amenable number.

72629820 is an abundant number, since it is smaller than the sum of its proper divisors (147681180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72629820 is a wasteful number, since it uses less digits than its factorization.

72629820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403514 (or 403509 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72629820 is about 8522.3130662984. The cubic root of 72629820 is about 417.2262802397.

The spelling of 72629820 in words is "seventy-two million, six hundred twenty-nine thousand, eight hundred twenty".