1172306772 has 288 divisors, whose sum is σ = 3811808000. Its totient is φ = 301771008.

The previous prime is 1172306761. The next prime is 1172306777. The reversal of 1172306772 is 2776032711.

It is a super-3 number, since 3×1172306772³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1172306777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10755054 + ... + 10755162.

Almost surely, 2^1172306772 is an apocalyptic number.

1172306772 is a gapful number since it is divisible by the number (12) 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 1172306772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905904000).

1172306772 is an abundant number, since it is smaller than the sum of its proper divisors (2639501228).

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

1172306772 is a wasteful number, since it uses less digits than its factorization.

1172306772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 1172306772 is about 34238.9656969950. The cubic root of 1172306772 is about 1054.4202986111.

The spelling of 1172306772 in words is "one billion, one hundred seventy-two million, three hundred six thousand, seven hundred seventy-two".