72046746 has 80 divisors (see below), whose sum is σ = 172497600. Its totient is φ = 22410432.

The previous prime is 72046721. The next prime is 72046747. The reversal of 72046746 is 64764027.

It is a self number, because there is not a number n which added to its sum of digits gives 72046746.

It is not an unprimeable number, because it can be changed into a prime (72046747) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273811 + ... + 274073.

It is an arithmetic number, because the mean of its divisors is an integer number (2156220).

Almost surely, 2^72046746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72046746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86248800).

72046746 is an abundant number, since it is smaller than the sum of its proper divisors (100450854).

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

72046746 is a wasteful number, since it uses less digits than its factorization.

72046746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 72046746 is about 8488.0354617544. The cubic root of 72046746 is about 416.1067780942.

The spelling of 72046746 in words is "seventy-two million, forty-six thousand, seven hundred forty-six".