72935064 has 96 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 22924800.

The previous prime is 72935063. The next prime is 72935089. The reversal of 72935064 is 46053927.

It is a Harshad number since it is a multiple of its sum of digits (36).

72935064 is a modest number, since divided by 935064 gives 72 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72935063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91114 + ... + 91910.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^72935064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72935064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

72935064 is an abundant number, since it is smaller than the sum of its proper divisors (136204776).

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

72935064 is a wasteful number, since it uses less digits than its factorization.

72935064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72935064 is about 8540.2028078963. The cubic root of 72935064 is about 417.8099606975.

The spelling of 72935064 in words is "seventy-two million, nine hundred thirty-five thousand, sixty-four".