72620821 has 48 divisors (see below), whose sum is σ = 99926784. Its totient is φ = 51397632.

The previous prime is 72620819. The next prime is 72620827. The reversal of 72620821 is 12802627.

It is not a de Polignac number, because 72620821 - 2¹ = 72620819 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72620821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72620827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462475 + ... + 462631.

It is an arithmetic number, because the mean of its divisors is an integer number (2081808).

Almost surely, 2^72620821 is an apocalyptic number.

It is an amenable number.

72620821 is a deficient number, since it is larger than the sum of its proper divisors (27305963).

72620821 is a wasteful number, since it uses less digits than its factorization.

72620821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 72620821 is about 8521.7850829506. The cubic root of 72620821 is about 417.2090477660.

It can be divided in two parts, 72620 and 821, that added together give a square (73441 = 271²).

The spelling of 72620821 in words is "seventy-two million, six hundred twenty thousand, eight hundred twenty-one".