672942000 has 160 divisors (see below), whose sum is σ = 2284139520. Its totient is φ = 169977600.

The previous prime is 672941999. The next prime is 672942001. The reversal of 672942000 is 249276.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (672941999) and next prime (672942001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (672942001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111049 + ... + 116951.

It is an arithmetic number, because the mean of its divisors is an integer number (14275872).

Almost surely, 2^672942000 is an apocalyptic number.

672942000 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 672942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142069760).

672942000 is an abundant number, since it is smaller than the sum of its proper divisors (1611197520).

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

672942000 is a wasteful number, since it uses less digits than its factorization.

672942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5948 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 672942000 is about 25941.1256502103. The cubic root of 672942000 is about 876.3129133781.

The spelling of 672942000 in words is "six hundred seventy-two million, nine hundred forty-two thousand".