72047080 has 32 divisors (see below), whose sum is σ = 185264640. Its totient is φ = 24701760.

The previous prime is 72047051. The next prime is 72047081. The reversal of 72047080 is 8074027.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (72047081) 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, 128376 + ... + 128935.

It is an arithmetic number, because the mean of its divisors is an integer number (5789520).

Almost surely, 2^72047080 is an apocalyptic number.

72047080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72047080 is an abundant number, since it is smaller than the sum of its proper divisors (113217560).

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

72047080 is a wasteful number, since it uses less digits than its factorization.

72047080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257329 (or 257325 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 72047080 is about 8488.0551364844. The cubic root of 72047080 is about 416.1074211002.

The spelling of 72047080 in words is "seventy-two million, forty-seven thousand, eighty".