72778740 has 48 divisors (see below), whose sum is σ = 214509120. Its totient is φ = 18385920.

The previous prime is 72778729. The next prime is 72778807. The reversal of 72778740 is 4787727.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72778692 and 72778701.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30781 + ... + 33060.

It is an arithmetic number, because the mean of its divisors is an integer number (4468940).

Almost surely, 2^72778740 is an apocalyptic number.

It is an amenable number.

72778740 is an abundant number, since it is smaller than the sum of its proper divisors (141730380).

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

72778740 is a wasteful number, since it uses less digits than its factorization.

72778740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63872 (or 63870 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 42.

The square root of 72778740 is about 8531.0456568934. The cubic root of 72778740 is about 417.5112454690.

The spelling of 72778740 in words is "seventy-two million, seven hundred seventy-eight thousand, seven hundred forty".