72537444 has 108 divisors (see below), whose sum is σ = 221339664. Its totient is φ = 20711376.

The previous prime is 72537433. The next prime is 72537461. The reversal of 72537444 is 44473527.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a junction number, because it is equal to n+sod(n) for n = 72537399 and 72537408.

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, 46867 + ... + 48389.

Almost surely, 2^72537444 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 72537444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110669832).

72537444 is an abundant number, since it is smaller than the sum of its proper divisors (148802220).

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

72537444 is a wasteful number, since it uses less digits than its factorization.

72537444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1535 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 72537444 is about 8516.8916865251. The cubic root of 72537444 is about 417.0493187359.

The spelling of 72537444 in words is "seventy-two million, five hundred thirty-seven thousand, four hundred forty-four".