1077672 has 32 divisors (see below), whose sum is σ = 2731680. Its totient is φ = 354240.

The previous prime is 1077641. The next prime is 1077673. The reversal of 1077672 is 2767701.

It is a happy number.

It is a super-2 number, since 2×1077672² = 2322753879168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1077673) 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, 1722 + ... + 2262.

It is an arithmetic number, because the mean of its divisors is an integer number (85365).

2^1077672 is an apocalyptic number.

1077672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1077672 is an abundant number, since it is smaller than the sum of its proper divisors (1654008).

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

1077672 is a wasteful number, since it uses less digits than its factorization.

1077672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 1077672 is about 1038.1098207801. The cubic root of 1077672 is about 102.5247848056.

The spelling of 1077672 in words is "one million, seventy-seven thousand, six hundred seventy-two".