72854577 has 6 divisors (see below), whose sum is σ = 105234402. Its totient is φ = 48569712.

The previous prime is 72854543. The next prime is 72854597. The reversal of 72854577 is 77545827.

72854577 is a `hidden beast` number, since 7 + 28 + 54 + 577 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70711281 + 2143296 = 8409^2 + 1464^2 .

It is not a de Polignac number, because 72854577 - 2¹⁴ = 72838193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72854597) 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 5 ways as a sum of consecutive naturals, for example, 4047468 + ... + 4047485.

It is an arithmetic number, because the mean of its divisors is an integer number (17539067).

Almost surely, 2^72854577 is an apocalyptic number.

It is an amenable number.

72854577 is a deficient number, since it is larger than the sum of its proper divisors (32379825).

72854577 is a wasteful number, since it uses less digits than its factorization.

72854577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094959 (or 8094956 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 72854577 is about 8535.4892654141. The cubic root of 72854577 is about 417.6562136695.

The spelling of 72854577 in words is "seventy-two million, eight hundred fifty-four thousand, five hundred seventy-seven".