72820404 has 24 divisors (see below), whose sum is σ = 188793920. Its totient is φ = 24273432.

The previous prime is 72820381. The next prime is 72820409. The reversal of 72820404 is 40402827.

It is a super-2 number, since 2×72820404² = 10605622477446432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72820409) 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 7 ways as a sum of consecutive naturals, for example, 337024 + ... + 337239.

Almost surely, 2^72820404 is an apocalyptic number.

It is an amenable number.

72820404 is an abundant number, since it is smaller than the sum of its proper divisors (115973516).

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

72820404 is a wasteful number, since it uses less digits than its factorization.

72820404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674276 (or 674268 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 72820404 is about 8533.4872121542. The cubic root of 72820404 is about 417.5909018364.

The spelling of 72820404 in words is "seventy-two million, eight hundred twenty thousand, four hundred four".