1006774272 has 432 divisors, whose sum is σ = 3660864480. Its totient is φ = 270729216.

The previous prime is 1006774267. The next prime is 1006774277. The reversal of 1006774272 is 2724776001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1006774267) and next prime (1006774277).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1006774272² = 2027188869522259968, which contains 22 as substring.

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 (1006774277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59222008 + ... + 59222024.

Almost surely, 2^1006774272 is an apocalyptic number.

1006774272 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 1006774272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830432240).

1006774272 is an abundant number, since it is smaller than the sum of its proper divisors (2654090208).

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

1006774272 is an frugal number, since it uses more digits than its factorization.

1006774272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 29 counting only the distinct ones).

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

The square root of 1006774272 is about 31729.7064594049. The cubic root of 1006774272 is about 1002.2530107969.

Multiplying 1006774272 by its product of nonzero digits (32928), we get a square (33151063228416 = 5757696²).

The spelling of 1006774272 in words is "one billion, six million, seven hundred seventy-four thousand, two hundred seventy-two".