72545616 has 180 divisors, whose sum is σ = 240716736. Its totient is φ = 20217600.

The previous prime is 72545609. The next prime is 72545623. The reversal of 72545616 is 61654527.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72545609) and next prime (72545623).

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

It is an alternating number because its digits alternate between odd and even.

Its product of digits (50400) is a multiple of the sum of its prime divisors (300).

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, 267561 + ... + 267831.

Almost surely, 2^72545616 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 72545616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120358368).

72545616 is an abundant number, since it is smaller than the sum of its proper divisors (168171120).

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

72545616 is a wasteful number, since it uses less digits than its factorization.

72545616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 72545616 is about 8517.3714255045. The cubic root of 72545616 is about 417.0649796088.

The spelling of 72545616 in words is "seventy-two million, five hundred forty-five thousand, six hundred sixteen".