72378252 has 48 divisors (see below), whose sum is σ = 190310400. Its totient is φ = 23783760.

The previous prime is 72378233. The next prime is 72378283. The reversal of 72378252 is 25287327.

It is a happy number.

It is a super-2 number, since 2×72378252² = 10477222725151008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 2949 + ... + 12387.

It is an arithmetic number, because the mean of its divisors is an integer number (3964800).

Almost surely, 2^72378252 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 72378252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95155200).

72378252 is an abundant number, since it is smaller than the sum of its proper divisors (117932148).

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

72378252 is a wasteful number, since it uses less digits than its factorization.

72378252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9523 (or 9515 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 72378252 is about 8507.5408902926. The cubic root of 72378252 is about 416.7440072611.

The spelling of 72378252 in words is "seventy-two million, three hundred seventy-eight thousand, two hundred fifty-two".