72880092 has 36 divisors (see below), whose sum is σ = 184611336. Its totient is φ = 24242400.

The previous prime is 72880091. The next prime is 72880099. The reversal of 72880092 is 29008827.

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 (72880091) 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, 17842 + ... + 21542.

Almost surely, 2^72880092 is an apocalyptic number.

It is an amenable number.

72880092 is an abundant number, since it is smaller than the sum of its proper divisors (111731244).

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

72880092 is a wasteful number, since it uses less digits than its factorization.

72880092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 72880092 is about 8536.9837764869. The cubic root of 72880092 is about 417.7049649168.

The spelling of 72880092 in words is "seventy-two million, eight hundred eighty thousand, ninety-two".