72679035 has 64 divisors (see below), whose sum is σ = 141152256. Its totient is φ = 31449600.

The previous prime is 72679007. The next prime is 72679037. The reversal of 72679035 is 53097627.

It is not a de Polignac number, because 72679035 - 2⁵ = 72679003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 72678984 and 72679002.

It is not an unprimeable number, because it can be changed into a prime (72679037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65949 + ... + 67041.

It is an arithmetic number, because the mean of its divisors is an integer number (2205504).

Almost surely, 2^72679035 is an apocalyptic number.

72679035 is a deficient number, since it is larger than the sum of its proper divisors (68473221).

72679035 is a wasteful number, since it uses less digits than its factorization.

72679035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156.

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 72679035 is about 8525.1999976540. The cubic root of 72679035 is about 417.3204984507.

The spelling of 72679035 in words is "seventy-two million, six hundred seventy-nine thousand, thirty-five".