72245376 has 288 divisors, whose sum is σ = 260532480. Its totient is φ = 18800640.

The previous prime is 72245357. The next prime is 72245419. The reversal of 72245376 is 67354227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (70560) is a multiple of the sum of its prime divisors (60).

It is a self number, because there is not a number n which added to its sum of digits gives 72245376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2330481 + ... + 2330511.

Almost surely, 2^72245376 is an apocalyptic number.

72245376 is the 5376-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72245376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130266240).

72245376 is an abundant number, since it is smaller than the sum of its proper divisors (188287104).

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

72245376 is a wasteful number, since it uses less digits than its factorization.

72245376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 72245376 is about 8499.7279956479. The cubic root of 72245376 is about 416.4888238012.

The spelling of 72245376 in words is "seventy-two million, two hundred forty-five thousand, three hundred seventy-six".