72749002 has 32 divisors (see below), whose sum is σ = 116250624. Its totient is φ = 34095600.

The previous prime is 72748981. The next prime is 72749009. The reversal of 72749002 is 20094727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (72749009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344677 + ... + 344887.

It is an arithmetic number, because the mean of its divisors is an integer number (3632832).

Almost surely, 2^72749002 is an apocalyptic number.

72749002 is a deficient number, since it is larger than the sum of its proper divisors (43501622).

72749002 is a wasteful number, since it uses less digits than its factorization.

72749002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 72749002 is about 8529.3025506192. The cubic root of 72749002 is about 417.4543715299.

It can be divided in two parts, 727 and 49002, that added together give a square (49729 = 223²).

The spelling of 72749002 in words is "seventy-two million, seven hundred forty-nine thousand, two".