72623152 has 40 divisors (see below), whose sum is σ = 162016416. Its totient is φ = 30890496.

The previous prime is 72623113. The next prime is 72623153. The reversal of 72623152 is 25132627.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 72623152.

It is not an unprimeable number, because it can be changed into a prime (72623153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12978 + ... + 17710.

Almost surely, 2^72623152 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 72623152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81008208).

72623152 is an abundant number, since it is smaller than the sum of its proper divisors (89393264).

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

72623152 is a wasteful number, since it uses less digits than its factorization.

72623152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885 (or 4879 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 72623152 is about 8521.9218489728. The cubic root of 72623152 is about 417.2135116093.

Adding to 72623152 its reverse (25132627), we get a palindrome (97755779).

The spelling of 72623152 in words is "seventy-two million, six hundred twenty-three thousand, one hundred fifty-two".