72679977 has 16 divisors (see below), whose sum is σ = 112356480. Its totient is φ = 46346256.

The previous prime is 72679973. The next prime is 72679991. The reversal of 72679977 is 77997627.

It is not a de Polignac number, because 72679977 - 2² = 72679973 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72679973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57898 + ... + 59139.

It is an arithmetic number, because the mean of its divisors is an integer number (7022280).

Almost surely, 2^72679977 is an apocalyptic number.

It is an amenable number.

72679977 is a deficient number, since it is larger than the sum of its proper divisors (39676503).

72679977 is a wasteful number, since it uses less digits than its factorization.

72679977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117069 (or 117063 counting only the distinct ones).

The product of its digits is 2333772, while the sum is 54.

The square root of 72679977 is about 8525.2552454457. The cubic root of 72679977 is about 417.3223014200.

The spelling of 72679977 in words is "seventy-two million, six hundred seventy-nine thousand, nine hundred seventy-seven".