72691835 has 24 divisors (see below), whose sum is σ = 92186640. Its totient is φ = 55008128.

The previous prime is 72691823. The next prime is 72691837. The reversal of 72691835 is 53819627.

It is not a de Polignac number, because 72691835 - 2¹² = 72687739 is a prime.

It is a super-3 number, since 3×72691835³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72691792 and 72691801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72691837) 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 23 ways as a sum of consecutive naturals, for example, 247949 + ... + 248241.

It is an arithmetic number, because the mean of its divisors is an integer number (3841110).

Almost surely, 2^72691835 is an apocalyptic number.

72691835 is a deficient number, since it is larger than the sum of its proper divisors (19494805).

72691835 is a wasteful number, since it uses less digits than its factorization.

72691835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 386 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 72691835 is about 8525.9506801295. The cubic root of 72691835 is about 417.3449960647.

The spelling of 72691835 in words is "seventy-two million, six hundred ninety-one thousand, eight hundred thirty-five".