72253974 has 32 divisors (see below), whose sum is σ = 156693600. Its totient is φ = 22079232.

The previous prime is 72253957. The next prime is 72253981. The reversal of 72253974 is 47935227.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8514 + ... + 14730.

It is an arithmetic number, because the mean of its divisors is an integer number (4896675).

Almost surely, 2^72253974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72253974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78346800).

72253974 is an abundant number, since it is smaller than the sum of its proper divisors (84439626).

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

72253974 is a wasteful number, since it uses less digits than its factorization.

72253974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6384.

The product of its digits is 105840, while the sum is 39.

The square root of 72253974 is about 8500.2337614915. The cubic root of 72253974 is about 416.5053454069.

It can be divided in two parts, 72 and 253974, that multiplied together give a triangular number (18286128 = T₆₀₄₇).

The spelling of 72253974 in words is "seventy-two million, two hundred fifty-three thousand, nine hundred seventy-four".