732672000 has 416 divisors, whose sum is σ = 2760039360. Its totient is φ = 191692800.

The previous prime is 732671993. The next prime is 732672007. The reversal of 732672000 is 276237.

It is an interprime number because it is at equal distance from previous prime (732671993) and next prime (732672007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (732672007) 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, 13823974 + ... + 13824026.

It is an arithmetic number, because the mean of its divisors is an integer number (6634710).

Almost surely, 2^732672000 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 732672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380019680).

732672000 is an abundant number, since it is smaller than the sum of its proper divisors (2027367360).

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

732672000 is an equidigital number, since it uses as much as digits as its factorization.

732672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 732672000 is about 27067.9145853536. The cubic root of 732672000 is about 901.5085810131.

The spelling of 732672000 in words is "seven hundred thirty-two million, six hundred seventy-two thousand".