761974272 has 240 divisors, whose sum is σ = 2378499552. Its totient is φ = 233963520.

The previous prime is 761974261. The next prime is 761974273. The reversal of 761974272 is 272479167.

761974272 is a `hidden beast` number, since 7 + 619 + 7 + 4 + 27 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761974273) 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 23 ways as a sum of consecutive naturals, for example, 5561788 + ... + 5561924.

Almost surely, 2^761974272 is an apocalyptic number.

761974272 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 761974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189249776).

761974272 is an abundant number, since it is smaller than the sum of its proper divisors (1616525280).

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

761974272 is a wasteful number, since it uses less digits than its factorization.

761974272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 761974272 is about 27603.8814661996. The cubic root of 761974272 is about 913.3700552956.

The spelling of 761974272 in words is "seven hundred sixty-one million, nine hundred seventy-four thousand, two hundred seventy-two".