72540416 has 72 divisors (see below), whose sum is σ = 158647104. Its totient is φ = 32901120.

The previous prime is 72540409. The next prime is 72540421. The reversal of 72540416 is 61404527.

It is a super-2 number, since 2×72540416² = 10524223906906112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236135 + ... + 236441.

It is an arithmetic number, because the mean of its divisors is an integer number (2203432).

Almost surely, 2^72540416 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 72540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79323552).

72540416 is an abundant number, since it is smaller than the sum of its proper divisors (86106688).

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

72540416 is a wasteful number, since it uses less digits than its factorization.

72540416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 72540416 is about 8517.0661615371. The cubic root of 72540416 is about 417.0550144318.

The spelling of 72540416 in words is "seventy-two million, five hundred forty thousand, four hundred sixteen".