72396800 has 156 divisors (see below), whose sum is σ = 207199536. Its totient is φ = 24576000.

The previous prime is 72396791. The next prime is 72396803. The reversal of 72396800 is 869327.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (72396803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 716750 + ... + 716850.

Almost surely, 2^72396800 is an apocalyptic number.

72396800 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 72396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103599768).

72396800 is an abundant number, since it is smaller than the sum of its proper divisors (134802736).

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

72396800 is a wasteful number, since it uses less digits than its factorization.

72396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 72396800 is about 8508.6309121973. The cubic root of 72396800 is about 416.7796031638.

The spelling of 72396800 in words is "seventy-two million, three hundred ninety-six thousand, eight hundred".