72476064 has 36 divisors (see below), whose sum is σ = 206104626. Its totient is φ = 24158592.

The previous prime is 72476057. The next prime is 72476093. The reversal of 72476064 is 46067427.

72476064 is a `hidden beast` number, since 7 + 2 + 47 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72386064 + 90000 = 8508^2 + 300^2 .

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 an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 125539 + ... + 126114.

Almost surely, 2^72476064 is an apocalyptic number.

It is an amenable number.

72476064 is an abundant number, since it is smaller than the sum of its proper divisors (133628562).

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

72476064 is a wasteful number, since it uses less digits than its factorization.

72476064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251669 (or 251658 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 72476064 is about 8513.2874966137. The cubic root of 72476064 is about 416.9316521006.

The spelling of 72476064 in words is "seventy-two million, four hundred seventy-six thousand, sixty-four".