72411840 has 336 divisors, whose sum is σ = 280720800. Its totient is φ = 17547264.

The previous prime is 72411817. The next prime is 72411887. The reversal of 72411840 is 4811427.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2496946 + ... + 2496974.

Almost surely, 2^72411840 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 72411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140360400).

72411840 is an abundant number, since it is smaller than the sum of its proper divisors (208308960).

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

72411840 is a wasteful number, since it uses less digits than its factorization.

72411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 72411840 is about 8509.5146747626. The cubic root of 72411840 is about 416.8084623179.

The spelling of 72411840 in words is "seventy-two million, four hundred eleven thousand, eight hundred forty".