1020072672 has 36 divisors (see below), whose sum is σ = 2900832480. Its totient is φ = 340024128.

The previous prime is 1020072667. The next prime is 1020072731. The reversal of 1020072672 is 2762700201.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1020072672² = 2081096512322439168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1770672 + ... + 1771247.

It is an arithmetic number, because the mean of its divisors is an integer number (80578680).

Almost surely, 2^1020072672 is an apocalyptic number.

1020072672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020072672 is an abundant number, since it is smaller than the sum of its proper divisors (1880759808).

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

1020072672 is a wasteful number, since it uses less digits than its factorization.

1020072672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541935 (or 3541924 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1020072672 is about 31938.5765493705. The cubic root of 1020072672 is about 1006.6466152949.

Adding to 1020072672 its reverse (2762700201), we get a palindrome (3782772873).

The spelling of 1020072672 in words is "one billion, twenty million, seventy-two thousand, six hundred seventy-two".