72959034 has 16 divisors (see below), whose sum is σ = 146001888. Its totient is φ = 24305712.

The previous prime is 72959021. The next prime is 72959039. The reversal of 72959034 is 43095927.

It is a junction number, because it is equal to n+sod(n) for n = 72958983 and 72959001.

It is not an unprimeable number, because it can be changed into a prime (72959039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18004 + ... + 21680.

It is an arithmetic number, because the mean of its divisors is an integer number (9125118).

Almost surely, 2^72959034 is an apocalyptic number.

72959034 is an abundant number, since it is smaller than the sum of its proper divisors (73042854).

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

72959034 is a wasteful number, since it uses less digits than its factorization.

72959034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989.

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 72959034 is about 8541.6060550695. The cubic root of 72959034 is about 417.8557265577.

The spelling of 72959034 in words is "seventy-two million, nine hundred fifty-nine thousand, thirty-four".