97420752 has 320 divisors, whose sum is σ = 349977600. Its totient is φ = 25505280.

The previous prime is 97420711. The next prime is 97420759. The reversal of 97420752 is 25702479.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97420759) 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 63 ways as a sum of consecutive naturals, for example, 1173703 + ... + 1173785.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^97420752 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 97420752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

97420752 is an abundant number, since it is smaller than the sum of its proper divisors (252556848).

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

97420752 is a wasteful number, since it uses less digits than its factorization.

97420752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 97420752 is about 9870.1951348492. The cubic root of 97420752 is about 460.1334710359.

The spelling of 97420752 in words is "ninety-seven million, four hundred twenty thousand, seven hundred fifty-two".