72914640 has 80 divisors (see below), whose sum is σ = 227664000. Its totient is φ = 19303936.

The previous prime is 72914617. The next prime is 72914641. The reversal of 72914640 is 4641927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72914641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34741 + ... + 36779.

It is an arithmetic number, because the mean of its divisors is an integer number (2845800).

Almost surely, 2^72914640 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 72914640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113832000).

72914640 is an abundant number, since it is smaller than the sum of its proper divisors (154749360).

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

72914640 is a wasteful number, since it uses less digits than its factorization.

72914640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 72914640 is about 8539.0069680262. The cubic root of 72914640 is about 417.7709572935.

The spelling of 72914640 in words is "seventy-two million, nine hundred fourteen thousand, six hundred forty".