761263272 has 480 divisors, whose sum is σ = 2858116800. Its totient is φ = 184757760.

The previous prime is 761263241. The next prime is 761263289. The reversal of 761263272 is 272362167.

It is a happy number.

761263272 is a `hidden beast` number, since 7 + 6 + 12 + 632 + 7 + 2 = 666.

It is a super-2 number, since 2×761263272² = 1159043538592291968, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10428228 + ... + 10428300.

It is an arithmetic number, because the mean of its divisors is an integer number (5954410).

Almost surely, 2^761263272 is an apocalyptic number.

761263272 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 761263272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429058400).

761263272 is an abundant number, since it is smaller than the sum of its proper divisors (2096853528).

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

761263272 is a wasteful number, since it uses less digits than its factorization.

761263272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 761263272 is about 27590.9998369033. Note that the first 3 decimals coincide. The cubic root of 761263272 is about 913.0858776335.

The spelling of 761263272 in words is "seven hundred sixty-one million, two hundred sixty-three thousand, two hundred seventy-two".