749577312 has 72 divisors (see below), whose sum is σ = 2325403080. Its totient is φ = 227143680.

The previous prime is 749577253. The next prime is 749577319. The reversal of 749577312 is 213775947.

749577312 is a `hidden beast` number, since 7 + 49 + 577 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×749577312² = 1123732293330290688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749577319) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 115137 + ... + 121472.

It is an arithmetic number, because the mean of its divisors is an integer number (32297265).

Almost surely, 2^749577312 is an apocalyptic number.

749577312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

749577312 is an abundant number, since it is smaller than the sum of its proper divisors (1575825768).

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

749577312 is a wasteful number, since it uses less digits than its factorization.

749577312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236636 (or 236625 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 749577312 is about 27378.4095958841. The cubic root of 749577312 is about 908.3895809925.

The spelling of 749577312 in words is "seven hundred forty-nine million, five hundred seventy-seven thousand, three hundred twelve".