1007772 has 24 divisors (see below), whose sum is σ = 2372496. Its totient is φ = 332928.

The previous prime is 1007771. The next prime is 1007789. The reversal of 1007772 is 2777001.

1007772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1338 + ... + 1950.

It is an arithmetic number, because the mean of its divisors is an integer number (98854).

2^1007772 is an apocalyptic number.

1007772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007772 is an abundant number, since it is smaller than the sum of its proper divisors (1364724).

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

1007772 is a wasteful number, since it uses less digits than its factorization.

1007772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 24.

The square root of 1007772 is about 1003.8784787015. The cubic root of 1007772 is about 100.2583983943.

The spelling of 1007772 in words is "one million, seven thousand, seven hundred seventy-two".