72652734 has 128 divisors (see below), whose sum is σ = 204456960. Its totient is φ = 18576000.

The previous prime is 72652729. The next prime is 72652787. The reversal of 72652734 is 43725627.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 419872 + ... + 420044.

It is an arithmetic number, because the mean of its divisors is an integer number (1597320).

Almost surely, 2^72652734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72652734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102228480).

72652734 is an abundant number, since it is smaller than the sum of its proper divisors (131804226).

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

72652734 is a wasteful number, since it uses less digits than its factorization.

72652734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 72652734 is about 8523.6573136184. The cubic root of 72652734 is about 417.2701525672.

It can be divided in two parts, 7265 and 2734, that added together give a palindrome (9999).

The spelling of 72652734 in words is "seventy-two million, six hundred fifty-two thousand, seven hundred thirty-four".