746818272 has 96 divisors (see below), whose sum is σ = 2248565760. Its totient is φ = 240900480.

The previous prime is 746818223. The next prime is 746818273. The reversal of 746818272 is 272818647.

746818272 is a `hidden beast` number, since 7 + 468 + 182 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746818273) 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, 12843 + ... + 40725.

It is an arithmetic number, because the mean of its divisors is an integer number (23422560).

Almost surely, 2^746818272 is an apocalyptic number.

746818272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746818272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124282880).

746818272 is an abundant number, since it is smaller than the sum of its proper divisors (1501747488).

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

746818272 is a wasteful number, since it uses less digits than its factorization.

746818272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27933 (or 27919 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 746818272 is about 27327.9759953056. The cubic root of 746818272 is about 907.2736789632.

The spelling of 746818272 in words is "seven hundred forty-six million, eight hundred eighteen thousand, two hundred seventy-two".