72777540 has 48 divisors (see below), whose sum is σ = 222304320. Its totient is φ = 17642880.

The previous prime is 72777539. The next prime is 72777563. The reversal of 72777540 is 4577727.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54475 + ... + 55794.

It is an arithmetic number, because the mean of its divisors is an integer number (4631340).

Almost surely, 2^72777540 is an apocalyptic number.

It is an amenable number.

72777540 is an abundant number, since it is smaller than the sum of its proper divisors (149526780).

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

72777540 is a wasteful number, since it uses less digits than its factorization.

72777540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110292 (or 110290 counting only the distinct ones).

The product of its (nonzero) digits is 96040, while the sum is 39.

The square root of 72777540 is about 8530.9753252486. The cubic root of 72777540 is about 417.5089507685.

The spelling of 72777540 in words is "seventy-two million, seven hundred seventy-seven thousand, five hundred forty".