672051744 has 144 divisors (see below), whose sum is σ = 2352272832. Its totient is φ = 177237504.

The previous prime is 672051739. The next prime is 672051749. The reversal of 672051744 is 447150276.

It is an interprime number because it is at equal distance from previous prime (672051739) and next prime (672051749).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×672051744² = 903307093226883072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

672051744 is a modest number, since divided by 51744 gives 672 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 672051699 and 672051708.

It is not an unprimeable number, because it can be changed into a prime (672051749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13387 + ... + 39029.

It is an arithmetic number, because the mean of its divisors is an integer number (16335228).

Almost surely, 2^672051744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672051744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176136416).

672051744 is an abundant number, since it is smaller than the sum of its proper divisors (1680221088).

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

672051744 is a wasteful number, since it uses less digits than its factorization.

672051744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25679 (or 25668 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 672051744 is about 25923.9608084876. The cubic root of 672051744 is about 875.9263089322.

The spelling of 672051744 in words is "six hundred seventy-two million, fifty-one thousand, seven hundred forty-four".