722937600 has 648 divisors, whose sum is σ = 3242209152. Its totient is φ = 149299200.

The previous prime is 722937599. The next prime is 722937601. The reversal of 722937600 is 6739227.

It is an interprime number because it is at equal distance from previous prime (722937599) and next prime (722937601).

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 (722937601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4435119 + ... + 4435281.

Almost surely, 2^722937600 is an apocalyptic number.

722937600 is a gapful number since it is divisible by the number (70) 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 722937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621104576).

722937600 is an abundant number, since it is smaller than the sum of its proper divisors (2519271552).

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

722937600 is a wasteful number, since it uses less digits than its factorization.

722937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 722937600 is about 26887.4989539749. The cubic root of 722937600 is about 897.4982373887.

The spelling of 722937600 in words is "seven hundred twenty-two million, nine hundred thirty-seven thousand, six hundred".