72742400 has 60 divisors (see below), whose sum is σ = 180256692. Its totient is φ = 29091840.

The previous prime is 72742387. The next prime is 72742433. The reversal of 72742400 is 424727.

It is a self number, because there is not a number n which added to its sum of digits gives 72742400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9959 + ... + 15641.

Almost surely, 2^72742400 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 72742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90128346).

72742400 is an abundant number, since it is smaller than the sum of its proper divisors (107514292).

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

72742400 is an equidigital number, since it uses as much as digits as its factorization.

72742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5711 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 72742400 is about 8528.9155230897. The cubic root of 72742400 is about 417.4417430994.

The spelling of 72742400 in words is "seventy-two million, seven hundred forty-two thousand, four hundred".