72787734 has 60 divisors (see below), whose sum is σ = 167666796. Its totient is φ = 23698332.

The previous prime is 72787717. The next prime is 72787787. The reversal of 72787734 is 43778727.

Its product of digits (460992) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72787734.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 1692717 + ... + 1692759.

Almost surely, 2^72787734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72787734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83833398).

72787734 is an abundant number, since it is smaller than the sum of its proper divisors (94879062).

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

72787734 is an frugal number, since it uses more digits than its factorization.

72787734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 48 counting only the distinct ones).

The product of its digits is 460992, while the sum is 45.

The square root of 72787734 is about 8531.5727741138. The cubic root of 72787734 is about 417.5284434468.

The spelling of 72787734 in words is "seventy-two million, seven hundred eighty-seven thousand, seven hundred thirty-four".