672537600 has 528 divisors, whose sum is σ = 2842873600. Its totient is φ = 152616960.

The previous prime is 672537599. The next prime is 672537601. The reversal of 672537600 is 6735276.

It is a happy number.

672537600 is a `hidden beast` number, since 67 + 2 + 537 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (672537599) and next prime (672537601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672537601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4838331 + ... + 4838469.

Almost surely, 2^672537600 is an apocalyptic number.

672537600 is a gapful number since it is divisible by the number (60) 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 672537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421436800).

672537600 is an abundant number, since it is smaller than the sum of its proper divisors (2170336000).

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

672537600 is a wasteful number, since it uses less digits than its factorization.

672537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 672537600 is about 25933.3299057410. The cubic root of 672537600 is about 876.1373400729.

The spelling of 672537600 in words is "six hundred seventy-two million, five hundred thirty-seven thousand, six hundred".