72767838 has 32 divisors (see below), whose sum is σ = 170980992. Its totient is φ = 20354400.

The previous prime is 72767831. The next prime is 72767857. The reversal of 72767838 is 83876727.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72767831) 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, 41548 + ... + 43263.

It is an arithmetic number, because the mean of its divisors is an integer number (5343156).

Almost surely, 2^72767838 is an apocalyptic number.

72767838 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

72767838 is an abundant number, since it is smaller than the sum of its proper divisors (98213154).

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

72767838 is a wasteful number, since it uses less digits than its factorization.

72767838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84840.

The product of its digits is 790272, while the sum is 48.

The square root of 72767838 is about 8530.4066726036. The cubic root of 72767838 is about 417.4903971879.

Subtracting 72767838 from its reverse (83876727), we obtain a square (11108889 = 3333²).

The spelling of 72767838 in words is "seventy-two million, seven hundred sixty-seven thousand, eight hundred thirty-eight".