72476640 has 192 divisors, whose sum is σ = 267321600. Its totient is φ = 18289152.

The previous prime is 72476633. The next prime is 72476641. The reversal of 72476640 is 4667427.

72476640 is a `hidden beast` number, since 7 + 2 + 4 + 7 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72476595 and 72476604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72476641) 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 31 ways as a sum of consecutive naturals, for example, 81639 + ... + 82521.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^72476640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

72476640 is an abundant number, since it is smaller than the sum of its proper divisors (194844960).

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

72476640 is a wasteful number, since it uses less digits than its factorization.

72476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 912 counting only the distinct ones).

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

The square root of 72476640 is about 8513.3213260161. The cubic root of 72476640 is about 416.9327566123.

The spelling of 72476640 in words is "seventy-two million, four hundred seventy-six thousand, six hundred forty".