72491760 has 280 divisors, whose sum is σ = 278111664. Its totient is φ = 17418240.

The previous prime is 72491759. The next prime is 72491761. The reversal of 72491760 is 6719427.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72491759) and next prime (72491761).

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 (72491761) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 641464 + ... + 641576.

Almost surely, 2^72491760 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 72491760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139055832).

72491760 is an abundant number, since it is smaller than the sum of its proper divisors (205619904).

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

72491760 is a wasteful number, since it uses less digits than its factorization.

72491760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72491760 is about 8514.2092997530. The cubic root of 72491760 is about 416.9617479533.

It can be divided in two parts, 7249 and 1760, that added together give a palindrome (9009).

The spelling of 72491760 in words is "seventy-two million, four hundred ninety-one thousand, seven hundred sixty".