761722272 has 96 divisors (see below), whose sum is σ = 2275983360. Its totient is φ = 247703040.

The previous prime is 761722271. The next prime is 761722277. The reversal of 761722272 is 272227167.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (761722271) 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, 24673 + ... + 46175.

It is an arithmetic number, because the mean of its divisors is an integer number (23708160).

Almost surely, 2^761722272 is an apocalyptic number.

761722272 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 761722272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137991680).

761722272 is an abundant number, since it is smaller than the sum of its proper divisors (1514261088).

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

761722272 is a wasteful number, since it uses less digits than its factorization.

761722272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21563 (or 21549 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 761722272 is about 27599.3165132762. The cubic root of 761722272 is about 913.2693543311.

The spelling of 761722272 in words is "seven hundred sixty-one million, seven hundred twenty-two thousand, two hundred seventy-two".