72013782 has 32 divisors (see below), whose sum is σ = 151725312. Its totient is φ = 22741664.

The previous prime is 72013769. The next prime is 72013787. The reversal of 72013782 is 28731027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72013787) 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, 12328 + ... + 17204.

It is an arithmetic number, because the mean of its divisors is an integer number (4741416).

Almost surely, 2^72013782 is an apocalyptic number.

72013782 is an abundant number, since it is smaller than the sum of its proper divisors (79711530).

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

72013782 is a wasteful number, since it uses less digits than its factorization.

72013782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 72013782 is about 8486.0934475175. The cubic root of 72013782 is about 416.0433070977.

The spelling of 72013782 in words is "seventy-two million, thirteen thousand, seven hundred eighty-two".